Cremona's table of elliptic curves

11102 = 2 · 7 · 13 · 61

Field	Data	Notes
Atkin-Lehner	2- 7- 13+ 61-	Signs for the Atkin-Lehner involutions
Class	11102g	Isogeny class
Conductor	11102	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	53760	Modular degree for the optimal curve
Δ	231734444032 = 216 · 73 · 132 · 61	Discriminant
Eigenvalues	2- -3 -4 7- -3 13+ -5 -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3747,86115]	[a1,a2,a3,a4,a6]
Generators	[197:-2738:1] [-29:426:1]	Generators of the group modulo torsion
j	5816558847720321/231734444032	j-invariant
L	4.9177167131292	L(r)(E,1)/r!
Ω	0.98333918516487	Real period
R	0.052094146693842	Regulator
r	2	Rank of the group of rational points
S	0.99999999999962	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	88816h1 99918k1 77714n1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 11102g1

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
-	-3	-4	-	-3	+	-5	-1	-7	-4	-10	4	-4	9	-3	-10	0	-	7	-5	-14	-15	11	-15	2

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Quadratic twists for elliptic curve 11102g1

-4	-3	-7
88816h1	99918k1	77714n1

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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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