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	2262k	Isogeny class
Conductor	2262	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1135497163632 = 24 · 3 · 138 · 29	Discriminant
Eigenvalues	2- 3+ -2  0 -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8019,268257]	[a1,a2,a3,a4,a6]
j	57027947016536497/1135497163632	j-invariant
L	1.7379578492948	L(r)(E,1)/r!
Ω	0.86897892464741	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18096bi3 72384w3 6786e3 56550v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2262k4

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	0	-4	-	2	-4	8	-	8	-2	10	4	0	6	12	-2	-4	8	-14	8	4	10	10

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Quadratic twists for elliptic curve 2262k4

-4	8	-3	5	-7	13	29
18096bi3	72384w3	6786e3	56550v3	110838ci3	29406f3	65598k3

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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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