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	11660f	Isogeny class
Conductor	11660	Conductor
∏ cp	33	Product of Tamagawa factors cp
deg	11616	Modular degree for the optimal curve
Δ	-455468750000 = -1 · 24 · 511 · 11 · 53	Discriminant
Eigenvalues	2- -1 5- -1 11-  7 -2 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-745,33650]	[a1,a2,a3,a4,a6]
Generators	[-35:125:1]	Generators of the group modulo torsion
j	-2861905985536/28466796875	j-invariant
L	3.9494898294091	L(r)(E,1)/r!
Ω	0.79979917415315	Real period
R	0.14963945181466	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	46640s1 104940s1 58300e1 128260i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 11660f1

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
-	-1	-	-1	-	7	-2	-7	-3	8	2	0	-2	-8	-6	-	-1	15	-13	6	2	0	4	-9	12

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Quadratic twists for elliptic curve 11660f1

-4	-3	5	-11
46640s1	104940s1	58300e1	128260i1

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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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