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	3960t	Isogeny class
Conductor	3960	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	581160586050000 = 24 · 38 · 55 · 116	Discriminant
Eigenvalues	2- 3- 5- -2 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-80382,-8694731]	[a1,a2,a3,a4,a6]
Generators	[-162:275:1]	Generators of the group modulo torsion
j	4924392082991104/49825153125	j-invariant
L	3.6653474614592	L(r)(E,1)/r!
Ω	0.28371036998136	Real period
R	0.43064428248897	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	7920l1 31680k1 1320c1 19800j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960t1

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	-4	4	-4	-6	0	6	-10	2	4	2	-12	-6	8	0	-8	-8	18	-14	14

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Quadratic twists for elliptic curve 3960t1

-4	8	-3	5	-11
7920l1	31680k1	1320c1	19800j1	43560ba1

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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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