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	16	Product of Tamagawa factors cp
Δ	213676376195072 = 223 · 74 · 1032	Discriminant
Eigenvalues	2- -2 -4 7-  2  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-173080,-27764076]	[a1,a2,a3,a4,a6]
Generators	[-244:14:1]	Generators of the group modulo torsion
j	139993197449114521/52167084032	j-invariant
L	1.9807565506438	L(r)(E,1)/r!
Ω	0.23407085223389	Real period
R	2.1155523335564	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	1442b2 46144s2 103824cg2 80752r2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11536i2

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 11536i2

-4	8	-3	-7
1442b2	46144s2	103824cg2	80752r2

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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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