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	9030p	Isogeny class
Conductor	9030	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	9707250000 = 24 · 3 · 56 · 7 · 432	Discriminant
Eigenvalues	2- 3+ 5- 7+  0  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1680,25377]	[a1,a2,a3,a4,a6]
Generators	[-33:231:1]	Generators of the group modulo torsion
j	524406074814721/9707250000	j-invariant
L	5.8207226432064	L(r)(E,1)/r!
Ω	1.2931121224149	Real period
R	0.37511072076359	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	72240de2 27090f2 45150bg2 63210ce2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030p2

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	-6	-2	-6	4	4	-2	-10	+	-8	8	-12	4	-12	-2	14	0	-4	-2	-4

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Quadratic twists for elliptic curve 9030p2

-4	-3	5	-7
72240de2	27090f2	45150bg2	63210ce2

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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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