Cremona's table of elliptic curves

9030 = 2 · 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 43-	Signs for the Atkin-Lehner involutions
Class	9030w	Isogeny class
Conductor	9030	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	20393718843750 = 2 · 3 · 56 · 76 · 432	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3764656,-2811800614]	[a1,a2,a3,a4,a6]
Generators	[20854820:560401079:8000]	Generators of the group modulo torsion
j	5900646723211921366119169/20393718843750	j-invariant
L	7.3458850893317	L(r)(E,1)/r!
Ω	0.10838476233433	Real period
R	11.295999134811	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	72240bg4 27090y4 45150a4 63210bv4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030w4

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
-	-	+	-	0	-4	0	-4	0	-6	-4	2	-6	-	0	-6	0	8	-16	0	-10	-16	6	0	14

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Quadratic twists for elliptic curve 9030w4

-4	-3	5	-7
72240bg4	27090y4	45150a4	63210bv4

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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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