Cremona's table of elliptic curves

1136 = 2⁴ · 71

Field	Data	Notes
Atkin-Lehner	2- 71-	Signs for the Atkin-Lehner involutions
Class	1136f	Isogeny class
Conductor	1136	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	2932006912 = 213 · 713	Discriminant
Eigenvalues	2- -1  0  1  0 -1  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-928,10880]	[a1,a2,a3,a4,a6]
Generators	[-22:142:1]	Generators of the group modulo torsion
j	21601086625/715822	j-invariant
L	2.2311040045472	L(r)(E,1)/r!
Ω	1.4193048765039	Real period
R	0.2619949198938	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	142d2 4544o2 10224l2 28400q2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1136f2

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	0	1	0	-1	0	1	-3	0	-5	-4	0	1	-9	6	-6	2	-8	-	-1	-8	-12	-3	-16

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Quadratic twists for elliptic curve 1136f2

-4	8	-3	5	-7	-71
142d2	4544o2	10224l2	28400q2	55664v2	80656l2

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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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