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	9030j	Isogeny class
Conductor	9030	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	361845897840 = 24 · 33 · 5 · 72 · 434	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-564519,163207546]	[a1,a2,a3,a4,a6]
Generators	[434:-207:1]	Generators of the group modulo torsion
j	19895657538287388043369/361845897840	j-invariant
L	3.8606335091391	L(r)(E,1)/r!
Ω	0.68553494235695	Real period
R	0.93859390445894	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	72240bm4 27090bs4 45150cb4 63210j4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030j3

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

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Quadratic twists for elliptic curve 9030j3

-4	-3	5	-7
72240bm4	27090bs4	45150cb4	63210j4

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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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