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	9240c	Isogeny class
Conductor	9240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	10141824000 = 210 · 3 · 53 · 74 · 11	Discriminant
Eigenvalues	2+ 3+ 5+ 7- 11-  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-88016,-10021284]	[a1,a2,a3,a4,a6]
Generators	[505:8606:1]	Generators of the group modulo torsion
j	73639964854838596/9904125	j-invariant
L	3.6122514919019	L(r)(E,1)/r!
Ω	0.27717798936543	Real period
R	6.5161225466923	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18480r4 73920dm4 27720bq4 46200cq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240c3

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	-8	8	-2	8	-2	-6	-12	0	-6	0	10	-16	0	6	0	12	-10	14

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Quadratic twists for elliptic curve 9240c3

-4	8	-3	5	-7	-11
18480r4	73920dm4	27720bq4	46200cq4	64680bf4	101640bq4

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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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