Cremona's table of elliptic curves

15162 = 2 · 3 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19+	Signs for the Atkin-Lehner involutions
Class	15162a	Isogeny class
Conductor	15162	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1.1613630161495E+27	Discriminant
Eigenvalues	2+ 3+  0 7+  4 -2 -8 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4220753525,-105532913354451]	[a1,a2,a3,a4,a6]
Generators	[835272312074912280180704989832112708510633825:236167283407422221518643759814364991051372089353:6850024791311806097406455434654381806721]	Generators of the group modulo torsion
j	25769813722208652671875/3599030964436992	j-invariant
L	2.7395442797622	L(r)(E,1)/r!
Ω	0.018730772811098	Real period
R	73.129504783139	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121296cx2 45486z2 106134w2 15162z2	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162a2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	+	0	+	4	-2	-8	+	0	2	4	12	6	-12	6	-14	4	-10	2	12	10	10	6	-6	14

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Quadratic twists for elliptic curve 15162a2

-4	-3	-7	-19
121296cx2	45486z2	106134w2	15162z2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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