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	3960i	Isogeny class
Conductor	3960	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-3207600 = -1 · 24 · 36 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5- -2 11+ -4  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,18,81]	[a1,a2,a3,a4,a6]
Generators	[0:9:1]	Generators of the group modulo torsion
j	55296/275	j-invariant
L	3.5824442543983	L(r)(E,1)/r!
Ω	1.8117676059674	Real period
R	0.49432999058471	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	7920s1 31680z1 440b1 19800bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960i1

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	+	-4	4	0	0	6	0	-2	-6	2	0	10	-12	-6	-12	-16	4	-4	-2	-6	-2

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Quadratic twists for elliptic curve 3960i1

-4	8	-3	5	-11
7920s1	31680z1	440b1	19800bb1	43560cj1

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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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