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	142129 = 132 · 292	Discriminant
Eigenvalues	1  0 -2  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-13,0]	[a1,a2,a3,a4,a6]
Generators	[-18:39:8]	Generators of the group modulo torsion
j	253636137/142129	j-invariant
L	1.9439778472024	L(r)(E,1)/r!
Ω	2.692686984512	Real period
R	2.8877888271217	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	6032f2 24128a2 3393g2 9425b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 377a2

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 377a2

-4	8	-3	5	-7	-11	13	17	29
6032f2	24128a2	3393g2	9425b2	18473a2	45617a2	4901c2	108953f2	10933a2

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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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