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	3920i	Isogeny class
Conductor	3920	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-1446273274880 = -1 · 210 · 5 · 710	Discriminant
Eigenvalues	2+  1 5- 7- -2  0 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-800,-58780]	[a1,a2,a3,a4,a6]
Generators	[608:14986:1]	Generators of the group modulo torsion
j	-196/5	j-invariant
L	4.250990677835	L(r)(E,1)/r!
Ω	0.3690680482641	Real period
R	5.7590879213595	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	1960l1 15680ci1 35280bg1 19600p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920i1

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
+	1	-	-	-2	0	-4	-2	-1	9	4	4	-1	-9	0	-10	-10	-9	-5	-14	-12	-14	11	15	18

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Quadratic twists for elliptic curve 3920i1

-4	8	-3	5	-7
1960l1	15680ci1	35280bg1	19600p1	3920b1

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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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