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	3960f	Isogeny class
Conductor	3960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	491825157120 = 210 · 38 · 5 · 114	Discriminant
Eigenvalues	2+ 3- 5+ -4 11-  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-9003,327062]	[a1,a2,a3,a4,a6]
Generators	[-41:792:1]	Generators of the group modulo torsion
j	108108036004/658845	j-invariant
L	3.0767546425694	L(r)(E,1)/r!
Ω	0.93668563723271	Real period
R	0.82118122672916	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	7920f3 31680bn3 1320i3 19800bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960f4

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

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Quadratic twists for elliptic curve 3960f4

-4	8	-3	5	-11
7920f3	31680bn3	1320i3	19800bo4	43560bz3

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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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