Cremona's table of elliptic curves

377 = 13 · 29

Field	Data	Notes
Atkin-Lehner	13- 29-	Signs for the Atkin-Lehner involutions
Class	377a	Isogeny class
Conductor	377	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-9194653 = -1 · 13 · 294	Discriminant
Eigenvalues	1  0 -2  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,52,-39]	[a1,a2,a3,a4,a6]
Generators	[762:2509:216]	Generators of the group modulo torsion
j	15382515303/9194653	j-invariant
L	1.9439778472024	L(r)(E,1)/r!
Ω	1.346343492256	Real period
R	5.7755776542434	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6032f4 24128a3 3393g4 9425b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 377a4

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
1	0	-2	0	-4	-	2	-4	8	-	-8	2	-10	-8	8	6	12	6	12	-16	-10	-12	-12	-10	14

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Quadratic twists for elliptic curve 377a4

-4	8	-3	5	-7	-11	13	17	29
6032f4	24128a3	3393g4	9425b4	18473a4	45617a3	4901c4	108953f3	10933a4

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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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