Cremona's table of elliptic curves

9240 = 2³ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	9240q	Isogeny class
Conductor	9240	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	4096	Modular degree for the optimal curve
Δ	-5903251200 = -1 · 28 · 32 · 52 · 7 · 114	Discriminant
Eigenvalues	2- 3+ 5+ 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,364,2436]	[a1,a2,a3,a4,a6]
Generators	[-4:30:1]	Generators of the group modulo torsion
j	20777545136/23059575	j-invariant
L	3.1806256363838	L(r)(E,1)/r!
Ω	0.89523215164798	Real period
R	0.88821252412817	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480w1 73920dc1 27720p1 46200bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240q1

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	0	0	-2	-4	6	6	12	4	6	-4	-10	-4	8	-2	0	-16	-6	-6

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Quadratic twists for elliptic curve 9240q1

-4	8	-3	5	-7	-11
18480w1	73920dc1	27720p1	46200bl1	64680dj1	101640f1

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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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