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	3920be	Isogeny class
Conductor	3920	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-141237624500000000 = -1 · 28 · 59 · 710	Discriminant
Eigenvalues	2-  1 5- 7- -6 -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,47220,17660600]	[a1,a2,a3,a4,a6]
j	161017136/1953125	j-invariant
L	2.1727962040934	L(r)(E,1)/r!
Ω	0.24142180045483	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	980f2 15680cn2 35280eq2 19600cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3920be2

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	-	-	-6	-2	6	8	-3	3	2	8	3	-5	0	12	0	1	7	0	10	4	3	3	10

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Quadratic twists for elliptic curve 3920be2

-4	8	-3	5	-7
980f2	15680cn2	35280eq2	19600cm2	3920q2

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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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