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	11536i	Isogeny class
Conductor	11536	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	63360	Modular degree for the optimal curve
Δ	-86706799771648 = -1 · 234 · 72 · 103	Discriminant
Eigenvalues	2- -2 -4 7-  2  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9240,-566636]	[a1,a2,a3,a4,a6]
Generators	[119:182:1]	Generators of the group modulo torsion
j	-21302308926361/21168652288	j-invariant
L	1.9807565506438	L(r)(E,1)/r!
Ω	0.23407085223389	Real period
R	4.2311046671128	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	1442b1 46144s1 103824cg1 80752r1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11536i1

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

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Quadratic twists for elliptic curve 11536i1

-4	8	-3	-7
1442b1	46144s1	103824cg1	80752r1

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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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