Cremona's table of elliptic curves

1264 = 2⁴ · 79

Field	Data	Notes
Atkin-Lehner	2- 79-	Signs for the Atkin-Lehner involutions
Class	1264i	Isogeny class
Conductor	1264	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	51126272 = 213 · 792	Discriminant
Eigenvalues	2- -2 -2  0  4  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-144,-620]	[a1,a2,a3,a4,a6]
Generators	[-6:8:1]	Generators of the group modulo torsion
j	81182737/12482	j-invariant
L	1.812456558429	L(r)(E,1)/r!
Ω	1.3916292718175	Real period
R	0.65119949512913	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	158e2 5056v2 11376r2 31600s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1264i2

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

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Quadratic twists for elliptic curve 1264i2

-4	8	-3	5	-7	-79
158e2	5056v2	11376r2	31600s2	61936y2	99856m2

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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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