Cremona's table of elliptic curves

2414 = 2 · 17 · 71

Field	Data	Notes
Atkin-Lehner	2- 17- 71-	Signs for the Atkin-Lehner involutions
Class	2414f	Isogeny class
Conductor	2414	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-2.5380696792083E+19	Discriminant
Eigenvalues	2-  0  2  0  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-319789,252263453]	[a1,a2,a3,a4,a6]
j	-3616704293889173525793/25380696792083390344	j-invariant
L	3.2828552245731	L(r)(E,1)/r!
Ω	0.18238084580962	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	19312j4 77248j3 21726j3 60350a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2414f4

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	2	0	0	-2	-	4	8	10	-8	10	10	4	8	6	4	-14	-4	-	10	0	-4	-6	2

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Quadratic twists for elliptic curve 2414f4

-4	8	-3	5	-7	17
19312j4	77248j3	21726j3	60350a3	118286n3	41038f3

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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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