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	1	Product of Tamagawa factors cp
deg	14	Modular degree for the optimal curve
Δ	377 = 13 · 29	Discriminant
Eigenvalues	1  0 -2  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-8,11]	[a1,a2,a3,a4,a6]
Generators	[-2:5:1]	Generators of the group modulo torsion
j	60698457/377	j-invariant
L	1.9439778472024	L(r)(E,1)/r!
Ω	5.3853739690239	Real period
R	1.4438944135608	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	6032f1 24128a1 3393g1 9425b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 377a1

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 377a1

-4	8	-3	5	-7	-11	13	17	29
6032f1	24128a1	3393g1	9425b1	18473a1	45617a1	4901c1	108953f1	10933a1

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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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