Cremona's table of elliptic curves

9920 = 2⁶ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 5- 31+	Signs for the Atkin-Lehner involutions
Class	9920be	Isogeny class
Conductor	9920	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1952382976000000 = -1 · 222 · 56 · 313	Discriminant
Eigenvalues	2- -2 5-  4  0  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,29055,-931457]	[a1,a2,a3,a4,a6]
Generators	[81:1400:1]	Generators of the group modulo torsion
j	10347405816671/7447750000	j-invariant
L	3.9712817933417	L(r)(E,1)/r!
Ω	0.26263856279773	Real period
R	2.5201184922719	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	9920o3 2480i3 89280ej3 49600bt3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9920be3

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	0	4	0	-4	6	-6	+	-8	-6	-10	0	0	-12	-14	8	0	-4	-8	6	-18	-10

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Quadratic twists for elliptic curve 9920be3

-4	8	-3	5
9920o3	2480i3	89280ej3	49600bt3

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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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