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	9240ba	Isogeny class
Conductor	9240	Conductor
∏ cp	46	Product of Tamagawa factors cp
deg	309120	Modular degree for the optimal curve
Δ	-1.4498049539358E+20	Discriminant
Eigenvalues	2- 3- 5+ 7+ 11+  2  3 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1762201,1070070299]	[a1,a2,a3,a4,a6]
Generators	[737:13122:1]	Generators of the group modulo torsion
j	-2364015519613191629824/566330060131171875	j-invariant
L	4.8099149800213	L(r)(E,1)/r!
Ω	0.17489722623287	Real period
R	0.59785607458218	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18480g1 73920bf1 27720r1 46200i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9240ba1

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	3	-5	1	-9	4	-2	0	-1	0	9	3	-7	14	0	-12	-14	-9	-11	-7

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Quadratic twists for elliptic curve 9240ba1

-4	8	-3	5	-7	-11
18480g1	73920bf1	27720r1	46200i1	64680bt1	101640bc1

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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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