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	9240a	Isogeny class
Conductor	9240	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	12294374400 = 210 · 34 · 52 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11+  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1856,-29700]	[a1,a2,a3,a4,a6]
j	690862540036/12006225	j-invariant
L	1.4562081958759	L(r)(E,1)/r!
Ω	0.72810409793796	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480u2 73920dt2 27720br2 46200ck2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240a2

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	-6	4	8	2	-4	2	10	-4	-8	10	-4	-10	0	-8	-6	4	8	-6	14

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Quadratic twists for elliptic curve 9240a2

-4	8	-3	5	-7	-11
18480u2	73920dt2	27720br2	46200ck2	64680bd2	101640bs2

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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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