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	96	Product of Tamagawa factors cp
Δ	-32076000000 = -1 · 28 · 36 · 56 · 11	Discriminant
Eigenvalues	2- 3- 5- -2 11-  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,153,8586]	[a1,a2,a3,a4,a6]
Generators	[-3:90:1]	Generators of the group modulo torsion
j	2122416/171875	j-invariant
L	3.6616470553571	L(r)(E,1)/r!
Ω	0.89441118819621	Real period
R	0.17057996290748	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	7920k2 31680j2 440a2 19800i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960s2

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 3960s2

-4	8	-3	5	-11
7920k2	31680j2	440a2	19800i2	43560z2

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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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