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	9240j	Isogeny class
Conductor	9240	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-46103904000000 = -1 · 211 · 35 · 56 · 72 · 112	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11- -4  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,7160,-231188]	[a1,a2,a3,a4,a6]
j	19818563370478/22511671875	j-invariant
L	2.0630476794293	L(r)(E,1)/r!
Ω	0.34384127990488	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480ba2 73920cr2 27720bj2 46200cs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240j2

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

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Quadratic twists for elliptic curve 9240j2

-4	8	-3	5	-7	-11
18480ba2	73920cr2	27720bj2	46200cs2	64680y2	101640bz2

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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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