Cremona's table of elliptic curves

2262 = 2 · 3 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 13- 29-	Signs for the Atkin-Lehner involutions
Class	2262h	Isogeny class
Conductor	2262	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	512325844992 = 224 · 34 · 13 · 29	Discriminant
Eigenvalues	2+ 3- -2  4 -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2002,-1564]	[a1,a2,a3,a4,a6]
j	886755839141017/512325844992	j-invariant
L	1.5598487208819	L(r)(E,1)/r!
Ω	0.77992436044096	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	18096z1 72384d1 6786p1 56550bi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2262h1

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	4	-4	-	2	4	0	-	0	2	6	4	0	6	0	6	0	-12	-10	8	16	6	-18

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Quadratic twists for elliptic curve 2262h1

-4	8	-3	5	-7	13	29
18096z1	72384d1	6786p1	56550bi1	110838h1	29406ba1	65598bb1

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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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