Cremona's table of elliptic curves

9922 = 2 · 11² · 41

Field	Data	Notes
Atkin-Lehner	2- 11- 41+	Signs for the Atkin-Lehner involutions
Class	9922c	Isogeny class
Conductor	9922	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	20592	Modular degree for the optimal curve
Δ	-70309712968 = -1 · 23 · 118 · 41	Discriminant
Eigenvalues	2- -2  0  4 11- -3  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-24263,-1456751]	[a1,a2,a3,a4,a6]
Generators	[736:19113:1]	Generators of the group modulo torsion
j	-7369140625/328	j-invariant
L	5.2627874082065	L(r)(E,1)/r!
Ω	0.19126353638434	Real period
R	3.05732168045	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	79376q1 89298bb1 9922a1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 9922c1

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	0	4	-	-3	2	-2	4	-2	-6	-2	+	3	-9	1	-9	-6	-12	5	3	-11	-3	16	16

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Quadratic twists for elliptic curve 9922c1

-4	-3	-11
79376q1	89298bb1	9922a1

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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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