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	15162r	Isogeny class
Conductor	15162	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	7210133919173976 = 23 · 3 · 72 · 1910	Discriminant
Eigenvalues	2- 3+  2 7+  0 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2266907,-1314645679]	[a1,a2,a3,a4,a6]
Generators	[-1505220:814891:1728]	Generators of the group modulo torsion
j	27384399945278713/153257496	j-invariant
L	6.9927964277356	L(r)(E,1)/r!
Ω	0.12303856962463	Real period
R	9.4723636242268	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	121296df4 45486l4 106134db4 798b3	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162r3

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
-	+	2	+	0	-2	2	-	8	-2	-4	-2	-6	-12	-8	-10	4	-10	-4	-8	10	4	0	-6	6

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Quadratic twists for elliptic curve 15162r3

-4	-3	-7	-19
121296df4	45486l4	106134db4	798b3

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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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