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	9240n	Isogeny class
Conductor	9240	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	1355454777600 = 28 · 36 · 52 · 74 · 112	Discriminant
Eigenvalues	2+ 3- 5- 7+ 11+ -6  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-97020,11599200]	[a1,a2,a3,a4,a6]
Generators	[135:990:1]	Generators of the group modulo torsion
j	394522733946559696/5294745225	j-invariant
L	5.3378995176485	L(r)(E,1)/r!
Ω	0.78040025347989	Real period
R	1.1399918383433	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	18480q2 73920i2 27720bh2 46200ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240n2

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
+	-	-	+	+	-6	2	8	0	-6	0	-10	-2	-4	8	-10	-4	-10	-4	0	14	-12	0	-14	18

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Quadratic twists for elliptic curve 9240n2

-4	8	-3	5	-7	-11
18480q2	73920i2	27720bh2	46200ca2	64680d2	101640cw2

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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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