Cremona's table of elliptic curves

1136 = 2⁴ · 71

Field	Data	Notes
Atkin-Lehner	2- 71+	Signs for the Atkin-Lehner involutions
Class	1136b	Isogeny class
Conductor	1136	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	165183488 = 215 · 712	Discriminant
Eigenvalues	2-  0  2  0 -6  4  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-659,6482]	[a1,a2,a3,a4,a6]
j	7727161833/40328	j-invariant
L	1.8240793203583	L(r)(E,1)/r!
Ω	1.8240793203583	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	142c2 4544k2 10224r2 28400g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1136b2

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

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Quadratic twists for elliptic curve 1136b2

-4	8	-3	5	-7	-71
142c2	4544k2	10224r2	28400g2	55664j2	80656f2

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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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