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	9240w	Isogeny class
Conductor	9240	Conductor
∏ cp	256	Product of Tamagawa factors cp
deg	147456	Modular degree for the optimal curve
Δ	-580319824218750000 = -1 · 24 · 32 · 516 · 74 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-50975,-36901248]	[a1,a2,a3,a4,a6]
j	-915553975060166656/36269989013671875	j-invariant
L	2.0309803912287	L(r)(E,1)/r!
Ω	0.1269362744518	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	18480bc1 73920da1 27720l1 46200bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240w1

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	-4	0	-10	-8	6	10	4	8	6	-12	6	-4	16	10	0	12	-6	2

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Quadratic twists for elliptic curve 9240w1

-4	8	-3	5	-7	-11
18480bc1	73920da1	27720l1	46200bf1	64680cr1	101640m1

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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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