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	3920bc	Isogeny class
Conductor	3920	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-16866160640 = -1 · 212 · 5 · 77	Discriminant
Eigenvalues	2-  1 5- 7-  3 -5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1045,14083]	[a1,a2,a3,a4,a6]
j	-262144/35	j-invariant
L	2.391079284647	L(r)(E,1)/r!
Ω	1.1955396423235	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	245c1 15680cl1 35280ek1 19600ci1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920bc1

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	-	-	3	-5	-3	2	6	3	-4	2	12	10	9	12	0	-8	4	0	-2	1	12	12	1

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Quadratic twists for elliptic curve 3920bc1

-4	8	-3	5	-7
245c1	15680cl1	35280ek1	19600ci1	560c1

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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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