Cremona's table of elliptic curves

9522 = 2 · 3² · 23²

Field	Data	Notes
Atkin-Lehner	2- 3+ 23-	Signs for the Atkin-Lehner involutions
Class	9522f	Isogeny class
Conductor	9522	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	22080	Modular degree for the optimal curve
Δ	-67660691282784 = -1 · 25 · 33 · 238	Discriminant
Eigenvalues	2- 3+  2 -1  1 -2 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,2281,-394097]	[a1,a2,a3,a4,a6]
Generators	[397:7736:1]	Generators of the group modulo torsion
j	621/32	j-invariant
L	7.1889082567235	L(r)(E,1)/r!
Ω	0.29578709751397	Real period
R	0.81014444929532	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	76176bj1 9522b1 9522g1	Quadratic twists by: -4 -3 -23

Hecke Eigenvalues for elliptic curve 9522f1

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	-1	1	-2	-4	-2	-	1	-9	2	-6	-2	6	1	-15	-8	-10	0	9	9	7	6	-9

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Quadratic twists for elliptic curve 9522f1

-4	-3	-23
76176bj1	9522b1	9522g1

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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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