Cremona's table of elliptic curves

2626 = 2 · 13 · 101

Field	Data	Notes
Atkin-Lehner	2- 13+ 101+	Signs for the Atkin-Lehner involutions
Class	2626f	Isogeny class
Conductor	2626	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	9396	Modular degree for the optimal curve
Δ	-8568435493384 = -1 · 23 · 139 · 101	Discriminant
Eigenvalues	2- -2 -1  4  4 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-19546,1059564]	[a1,a2,a3,a4,a6]
j	-825845457115463329/8568435493384	j-invariant
L	2.2125411231319	L(r)(E,1)/r!
Ω	0.73751370771062	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	21008d1 84032m1 23634d1 65650h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2626f1

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
-	-2	-1	4	4	+	-3	4	4	2	3	-11	5	1	-8	-11	13	13	-1	13	-1	-6	5	11	8

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Quadratic twists for elliptic curve 2626f1

-4	8	-3	5	-7	13
21008d1	84032m1	23634d1	65650h1	128674bb1	34138c1

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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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