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	15162k	Isogeny class
Conductor	15162	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4462042876837380576 = -1 · 25 · 32 · 7 · 1912	Discriminant
Eigenvalues	2+ 3- -2 7+  2  6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,276518,84855020]	[a1,a2,a3,a4,a6]
Generators	[400500:14427791:729]	Generators of the group modulo torsion
j	49702082429663/94844496096	j-invariant
L	3.8262943298168	L(r)(E,1)/r!
Ω	0.16891525890189	Real period
R	11.326076621767	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	121296ci2 45486bg2 106134n2 798g2	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162k2

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	+	2	6	-4	-	-4	2	6	4	-6	-4	-6	-6	-4	-6	14	-8	10	0	8	-6	-16

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Quadratic twists for elliptic curve 15162k2

-4	-3	-7	-19
121296ci2	45486bg2	106134n2	798g2

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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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