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	3920o	Isogeny class
Conductor	3920	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	439040000 = 211 · 54 · 73	Discriminant
Eigenvalues	2+ -2 5- 7- -4  2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-240,-1100]	[a1,a2,a3,a4,a6]
Generators	[-10:20:1]	Generators of the group modulo torsion
j	2185454/625	j-invariant
L	2.6117745528617	L(r)(E,1)/r!
Ω	1.2389424249267	Real period
R	0.26350846701131	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1960o2 15680cs2 35280bn2 19600u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920o2

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	-	-	-4	2	0	-2	4	10	-4	-2	-12	4	-4	2	-10	6	-4	12	-4	4	-14	8	-8

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Quadratic twists for elliptic curve 3920o2

-4	8	-3	5	-7
1960o2	15680cs2	35280bn2	19600u2	3920g2

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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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