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	9920bc	Isogeny class
Conductor	9920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1259601920 = 218 · 5 · 312	Discriminant
Eigenvalues	2-  2 5- -4  4  0 -8  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1665,26657]	[a1,a2,a3,a4,a6]
Generators	[-374:93:8]	Generators of the group modulo torsion
j	1948441249/4805	j-invariant
L	6.0314512561177	L(r)(E,1)/r!
Ω	1.5359255573889	Real period
R	3.9269163971535	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	9920q2 2480j2 89280el2 49600bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9920bc2

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	4	0	-8	4	-2	6	+	4	-6	-6	-8	12	-4	-10	8	0	-4	0	2	14	-18

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Quadratic twists for elliptic curve 9920bc2

-4	8	-3	5
9920q2	2480j2	89280el2	49600bv2

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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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