Cremona's table of elliptic curves

9020 = 2² · 5 · 11 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 41+	Signs for the Atkin-Lehner involutions
Class	9020b	Isogeny class
Conductor	9020	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	1968921680 = 24 · 5 · 114 · 412	Discriminant
Eigenvalues	2-  2 5+  2 11- -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2761,56730]	[a1,a2,a3,a4,a6]
Generators	[129:1353:1]	Generators of the group modulo torsion
j	145532582477824/123057605	j-invariant
L	5.9783666577993	L(r)(E,1)/r!
Ω	1.4657194231409	Real period
R	0.67979889413719	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	36080j1 81180n1 45100c1 99220b1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9020b1

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	+	2	-	-2	-2	-8	6	-2	-4	10	+	2	-10	-6	-4	2	-10	8	-2	4	-6	10	-6

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Quadratic twists for elliptic curve 9020b1

-4	-3	5	-11
36080j1	81180n1	45100c1	99220b1

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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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