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	64	Product of Tamagawa factors cp
Δ	5080838400 = 28 · 38 · 52 · 112	Discriminant
Eigenvalues	2- 3- 5+  0 11+ -6  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-543,3458]	[a1,a2,a3,a4,a6]
Generators	[-11:90:1]	Generators of the group modulo torsion
j	94875856/27225	j-invariant
L	3.3305450693253	L(r)(E,1)/r!
Ω	1.2686969218413	Real period
R	0.65629249428847	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7920h2 31680bt2 1320b2 19800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960n2

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 3960n2

-4	8	-3	5	-11
7920h2	31680bt2	1320b2	19800d2	43560j2

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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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