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	9920ba	Isogeny class
Conductor	9920	Conductor
∏ cp	11	Product of Tamagawa factors cp
deg	16896	Modular degree for the optimal curve
Δ	-24800000000000 = -1 · 214 · 511 · 31	Discriminant
Eigenvalues	2- -1 5-  0  0  2  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-28805,1906525]	[a1,a2,a3,a4,a6]
Generators	[60:625:1]	Generators of the group modulo torsion
j	-161332732109824/1513671875	j-invariant
L	3.9119492907052	L(r)(E,1)/r!
Ω	0.67523182466513	Real period
R	0.52668097194151	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	9920m1 2480b1 89280ea1 49600bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9920ba1

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	-	0	0	2	3	1	0	-6	+	-3	-11	9	-10	1	13	-8	2	-3	-7	-2	9	4	14

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Quadratic twists for elliptic curve 9920ba1

-4	8	-3	5
9920m1	2480b1	89280ea1	49600bo1

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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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