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	3960c	Isogeny class
Conductor	3960	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	1729072818000 = 24 · 310 · 53 · 114	Discriminant
Eigenvalues	2+ 3- 5+ -4 11+ -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30738,-2073287]	[a1,a2,a3,a4,a6]
j	275361373935616/148240125	j-invariant
L	0.72114846202657	L(r)(E,1)/r!
Ω	0.36057423101329	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	7920i1 31680ca1 1320n1 19800bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3960c1

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	+	-6	2	-4	8	-6	0	-2	-2	-8	0	2	-4	-10	12	16	6	8	16	-10	10

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Quadratic twists for elliptic curve 3960c1

-4	8	-3	5	-11
7920i1	31680ca1	1320n1	19800bf1	43560ca1

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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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