Cremona's table of elliptic curves

15376 = 2⁴ · 31²

Field	Data	Notes
Atkin-Lehner	2- 31-	Signs for the Atkin-Lehner involutions
Class	15376x	Isogeny class
Conductor	15376	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	47616	Modular degree for the optimal curve
Δ	-423033954570736 = -1 · 24 · 319	Discriminant
Eigenvalues	2- -2  1  1  4  2  2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9930,-1063649]	[a1,a2,a3,a4,a6]
Generators	[198327633:1938113087:1092727]	Generators of the group modulo torsion
j	-256	j-invariant
L	4.2225631165175	L(r)(E,1)/r!
Ω	0.21844740522914	Real period
R	9.664942259415	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3844b1 61504bw1 15376w1	Quadratic twists by: -4 8 -31

Hecke Eigenvalues for elliptic curve 15376x1

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	1	1	4	2	2	5	6	-6	-	-8	-5	-10	8	-4	-9	14	-8	-9	-4	-10	-4	-14	-7

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Quadratic twists for elliptic curve 15376x1

-4	8	-31
3844b1	61504bw1	15376w1

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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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