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	9240r	Isogeny class
Conductor	9240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	169449136164000000 = 28 · 310 · 56 · 72 · 114	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-279636,53452836]	[a1,a2,a3,a4,a6]
Generators	[-120:9234:1]	Generators of the group modulo torsion
j	9446361110552374864/661910688140625	j-invariant
L	3.528680714046	L(r)(E,1)/r!
Ω	0.31566589765489	Real period
R	2.7946325056499	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	18480s2 73920dr2 27720w2 46200bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240r2

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	-10	-2	-4	8	2	4	-10	4	8	-10	-8	12	-10	-2

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Quadratic twists for elliptic curve 9240r2

-4	8	-3	5	-7	-11
18480s2	73920dr2	27720w2	46200bb2	64680df2	101640d2

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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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