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	2414c	Isogeny class
Conductor	2414	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-56269335776 = -1 · 25 · 173 · 713	Discriminant
Eigenvalues	2-  1 -3  5  0 -1 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,958,164]	[a1,a2,a3,a4,a6]
j	97228123877087/56269335776	j-invariant
L	3.3358679466034	L(r)(E,1)/r!
Ω	0.66717358932067	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19312g2 77248c2 21726p2 60350e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2414c2

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	-3	5	0	-1	+	8	3	3	5	2	-6	8	-6	-3	9	2	-4	+	14	8	0	6	-7

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Quadratic twists for elliptic curve 2414c2

-4	8	-3	5	-7	17
19312g2	77248c2	21726p2	60350e2	118286x2	41038o2

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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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