Cremona's table of elliptic curves

11660 = 2² · 5 · 11 · 53

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 53+	Signs for the Atkin-Lehner involutions
Class	11660d	Isogeny class
Conductor	11660	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	45239225900000000 = 28 · 58 · 115 · 532	Discriminant
Eigenvalues	2-  2 5-  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-869980,312451272]	[a1,a2,a3,a4,a6]
Generators	[729:8070:1]	Generators of the group modulo torsion
j	284454004568896393936/176715726171875	j-invariant
L	6.7377167228153	L(r)(E,1)/r!
Ω	0.35556867416504	Real period
R	4.73728228354	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	46640w2 104940z2 58300c2 128260g2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11660d2

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	-	0	+	-2	-2	4	-2	-10	6	-10	0	4	8	+	0	-8	6	6	-12	8	-8	-6	-2

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Quadratic twists for elliptic curve 11660d2

-4	-3	5	-11
46640w2	104940z2	58300c2	128260g2

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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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