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	480	Product of Tamagawa factors cp
Δ	-196485547500000000 = -1 · 28 · 310 · 510 · 113	Discriminant
Eigenvalues	2- 3- 5- -2 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20487,-21356534]	[a1,a2,a3,a4,a6]
Generators	[377:4950:1]	Generators of the group modulo torsion
j	-5095552972624/1052841796875	j-invariant
L	3.6653474614592	L(r)(E,1)/r!
Ω	0.14185518499068	Real period
R	0.21532214124449	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	7920l2 31680k2 1320c2 19800j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960t2

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 3960t2

-4	8	-3	5	-11
7920l2	31680k2	1320c2	19800j2	43560ba2

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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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