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	3920z	Isogeny class
Conductor	3920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-247596317629480960 = -1 · 233 · 5 · 78	Discriminant
Eigenvalues	2-  2 5- 7+ -3 -1 -6  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-124280,29324912]	[a1,a2,a3,a4,a6]
Generators	[-3220:712704:125]	Generators of the group modulo torsion
j	-8990558521/10485760	j-invariant
L	4.9478413183642	L(r)(E,1)/r!
Ω	0.28263465676956	Real period
R	4.3765345118294	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	490c2 15680ca2 35280dt2 19600bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920z2

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 3920z2

-4	8	-3	5	-7
490c2	15680ca2	35280dt2	19600bw2	3920x2

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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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