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	3960n	Isogeny class
Conductor	3960	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	1924560 = 24 · 37 · 5 · 11	Discriminant
Eigenvalues	2- 3- 5+  0 11+ -6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-498,4277]	[a1,a2,a3,a4,a6]
Generators	[14:7:1]	Generators of the group modulo torsion
j	1171019776/165	j-invariant
L	3.3305450693253	L(r)(E,1)/r!
Ω	2.5373938436826	Real period
R	1.3125849885769	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	7920h1 31680bt1 1320b1 19800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960n1

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
-	-	+	0	+	-6	6	0	0	6	8	-2	2	-4	0	-6	-4	-10	-12	0	-10	-12	0	6	10

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Quadratic twists for elliptic curve 3960n1

-4	8	-3	5	-11
7920h1	31680bt1	1320b1	19800d1	43560j1

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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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