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	9460c	Isogeny class
Conductor	9460	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	218644250000 = 24 · 56 · 11 · 433	Discriminant
Eigenvalues	2- -2 5+ -1 11- -4 -6 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2186,-33011]	[a1,a2,a3,a4,a6]
Generators	[-19:45:1] [309:5375:1]	Generators of the group modulo torsion
j	72235861729024/13665265625	j-invariant
L	4.176369629748	L(r)(E,1)/r!
Ω	0.70733688308445	Real period
R	0.984059535992	Regulator
r	2	Rank of the group of rational points
S	0.99999999999982	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37840k2 85140p2 47300i2 104060d2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9460c2

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	-	-4	-6	-1	-3	-9	-7	-4	0	-	-3	9	-3	-13	5	-6	2	-10	6	-12	-1

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Quadratic twists for elliptic curve 9460c2

-4	-3	5	-11
37840k2	85140p2	47300i2	104060d2

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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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