Cremona's table of elliptic curves

2431 = 11 · 13 · 17

Field	Data	Notes
Atkin-Lehner	11- 13- 17-	Signs for the Atkin-Lehner involutions
Class	2431c	Isogeny class
Conductor	2431	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	347633 = 112 · 132 · 17	Discriminant
Eigenvalues	1 -2  4  0 11- 13- 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-39,-91]	[a1,a2,a3,a4,a6]
j	6321363049/347633	j-invariant
L	1.9229203836201	L(r)(E,1)/r!
Ω	1.9229203836201	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38896i1 21879i1 60775h1 119119h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2431c1

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	-2	4	0	-	-	-	4	-6	-2	-4	8	0	-8	8	10	4	10	-4	16	0	-6	-4	-18	8

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Quadratic twists for elliptic curve 2431c1

-4	-3	5	-7	-11	13	17
38896i1	21879i1	60775h1	119119h1	26741c1	31603g1	41327f1

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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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