Cremona's table of elliptic curves

9460 = 2² · 5 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 43-	Signs for the Atkin-Lehner involutions
Class	9460f	Isogeny class
Conductor	9460	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-75680000 = -1 · 28 · 54 · 11 · 43	Discriminant
Eigenvalues	2- -1 5- -4 11- -4  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-220,1400]	[a1,a2,a3,a4,a6]
Generators	[10:-10:1]	Generators of the group modulo torsion
j	-4620876496/295625	j-invariant
L	3.1226838251907	L(r)(E,1)/r!
Ω	1.9065233136298	Real period
R	0.13649119852816	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	37840s1 85140l1 47300h1 104060q1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9460f1

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	-	-4	-	-4	4	4	2	-9	2	8	2	-	-12	5	8	-13	-2	0	9	-11	9	6	9

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Quadratic twists for elliptic curve 9460f1

-4	-3	5	-11
37840s1	85140l1	47300h1	104060q1

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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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