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	3920f	Isogeny class
Conductor	3920	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-439040 = -1 · 28 · 5 · 73	Discriminant
Eigenvalues	2+ -1 5+ 7-  5  7 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-121,-475]	[a1,a2,a3,a4,a6]
j	-2249728/5	j-invariant
L	1.4382907612877	L(r)(E,1)/r!
Ω	0.71914538064386	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1960j1 15680do1 35280ct1 19600n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920f1

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	+	-	5	7	-3	2	-8	-5	10	4	-6	-2	7	-10	10	-12	2	0	-2	7	-4	-8	17

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Quadratic twists for elliptic curve 3920f1

-4	8	-3	5	-7
1960j1	15680do1	35280ct1	19600n1	3920k1

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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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