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	2431a	Isogeny class
Conductor	2431	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	-1329335729579 = -1 · 115 · 134 · 172	Discriminant
Eigenvalues	0  1 -1  2 11- 13+ 17-  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-10031,-394013]	[a1,a2,a3,a4,a6]
Generators	[635:15801:1]	Generators of the group modulo torsion
j	-111634825505112064/1329335729579	j-invariant
L	3.0582721323856	L(r)(E,1)/r!
Ω	0.23835370898159	Real period
R	0.64154070550288	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	38896f1 21879g1 60775m1 119119j1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2431a1

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
0	1	-1	2	-	+	-	2	-3	-6	5	5	0	-6	8	-10	-7	4	5	-13	-2	-8	-6	3	-9

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Quadratic twists for elliptic curve 2431a1

-4	-3	5	-7	-11	13	17
38896f1	21879g1	60775m1	119119j1	26741d1	31603d1	41327a1

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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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