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	3920n	Isogeny class
Conductor	3920	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-313600000 = -1 · 211 · 55 · 72	Discriminant
Eigenvalues	2+ -2 5- 7-  1  3  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-240,1588]	[a1,a2,a3,a4,a6]
Generators	[6:-20:1]	Generators of the group modulo torsion
j	-15298178/3125	j-invariant
L	2.7545236483823	L(r)(E,1)/r!
Ω	1.6476090566145	Real period
R	0.083591542463428	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	1960n1 15680cq1 35280bf1 19600s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920n1

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 3920n1

-4	8	-3	5	-7
1960n1	15680cq1	35280bf1	19600s1	3920c1

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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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