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
Δ	-2188269318400 = -1 · 28 · 52 · 112 · 414	Discriminant
Eigenvalues	2-  2 5+  2 11- -2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2156,81656]	[a1,a2,a3,a4,a6]
Generators	[-14:330:1]	Generators of the group modulo torsion
j	-4331431355344/8547927025	j-invariant
L	5.9783666577993	L(r)(E,1)/r!
Ω	0.73285971157043	Real period
R	1.3595977882744	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	36080j2 81180n2 45100c2 99220b2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9020b2

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 9020b2

-4	-3	5	-11
36080j2	81180n2	45100c2	99220b2

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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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