Cremona's table of elliptic curves

3920 = 2⁴ · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	3920c	Isogeny class
Conductor	3920	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	-36894726400000 = -1 · 211 · 55 · 78	Discriminant
Eigenvalues	2+  2 5+ 7+  1 -3 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11776,-568224]	[a1,a2,a3,a4,a6]
Generators	[180:1764:1]	Generators of the group modulo torsion
j	-15298178/3125	j-invariant
L	4.6001578705705	L(r)(E,1)/r!
Ω	0.22665918969821	Real period
R	1.691290301199	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1960i1 15680de1 35280bw1 19600e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920c1

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	+	+	1	-3	-2	5	-7	-6	-4	-5	-5	-6	9	11	-8	-12	4	4	12	-14	4	6	6

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Quadratic twists for elliptic curve 3920c1

-4	8	-3	5	-7
1960i1	15680de1	35280bw1	19600e1	3920n1

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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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