Cremona's table of elliptic curves

11536 = 2⁴ · 7 · 103

Field	Data	Notes
Atkin-Lehner	2- 7+ 103-	Signs for the Atkin-Lehner involutions
Class	11536f	Isogeny class
Conductor	11536	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12096	Modular degree for the optimal curve
Δ	774167855104 = 230 · 7 · 103	Discriminant
Eigenvalues	2-  0 -2 7+ -2 -4 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2971,-45750]	[a1,a2,a3,a4,a6]
Generators	[223:3222:1]	Generators of the group modulo torsion
j	708062704497/189005824	j-invariant
L	3.1918717779806	L(r)(E,1)/r!
Ω	0.65953797722918	Real period
R	4.8395572175996	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	1442e1 46144o1 103824bu1 80752l1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11536f1

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

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Quadratic twists for elliptic curve 11536f1

-4	8	-3	-7
1442e1	46144o1	103824bu1	80752l1

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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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