Cremona's table of elliptic curves

3960 = 2³ · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	3960s	Isogeny class
Conductor	3960	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	176418000 = 24 · 36 · 53 · 112	Discriminant
Eigenvalues	2- 3- 5- -2 11-  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-342,2349]	[a1,a2,a3,a4,a6]
Generators	[-2:55:1]	Generators of the group modulo torsion
j	379275264/15125	j-invariant
L	3.6616470553571	L(r)(E,1)/r!
Ω	1.7888223763924	Real period
R	0.34115992581496	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	7920k1 31680j1 440a1 19800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960s1

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

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Quadratic twists for elliptic curve 3960s1

-4	8	-3	5	-11
7920k1	31680j1	440a1	19800i1	43560z1

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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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