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	3920x	Isogeny class
Conductor	3920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2104533975040 = -1 · 233 · 5 · 72	Discriminant
Eigenvalues	2- -2 5+ 7- -3  1  6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2536,-86220]	[a1,a2,a3,a4,a6]
Generators	[846:24576:1]	Generators of the group modulo torsion
j	-8990558521/10485760	j-invariant
L	2.2572535779568	L(r)(E,1)/r!
Ω	0.32188733453349	Real period
R	1.7531394806418	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	490b2 15680dr2 35280fp2 19600cr2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920x2

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	+	-	-3	1	6	-1	-9	6	8	-7	-3	-2	9	9	0	-8	-8	0	4	10	0	-6	10

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Quadratic twists for elliptic curve 3920x2

-4	8	-3	5	-7
490b2	15680dr2	35280fp2	19600cr2	3920z2

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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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