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	3960a	Isogeny class
Conductor	3960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4181760000 = -1 · 211 · 33 · 54 · 112	Discriminant
Eigenvalues	2+ 3+ 5-  4 11+ -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-147,-3186]	[a1,a2,a3,a4,a6]
j	-6353046/75625	j-invariant
L	2.3626319318523	L(r)(E,1)/r!
Ω	0.59065798296307	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7920b2 31680b2 3960m2 19800y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960a2

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	+	-4	-2	-6	6	6	0	10	6	-10	6	10	0	0	12	14	-2	8	4	0	-2

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Quadratic twists for elliptic curve 3960a2

-4	8	-3	5	-11
7920b2	31680b2	3960m2	19800y2	43560bo2

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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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