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	9240z	Isogeny class
Conductor	9240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	99215942918400 = 28 · 32 · 52 · 76 · 114	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-41636,-3248640]	[a1,a2,a3,a4,a6]
Generators	[-126:114:1]	Generators of the group modulo torsion
j	31181799673942864/387562277025	j-invariant
L	4.7840707606439	L(r)(E,1)/r!
Ω	0.33447055284389	Real period
R	3.5758534794517	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	18480f2 73920be2 27720q2 46200h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240z2

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	-4	6	4	-2	-10	4	0	-6	-12	-2	4	0	-2	16	-4	14	-2

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Quadratic twists for elliptic curve 9240z2

-4	8	-3	5	-7	-11
18480f2	73920be2	27720q2	46200h2	64680br2	101640bb2

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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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