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	9030v	Isogeny class
Conductor	9030	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-47966026720500 = -1 · 22 · 32 · 53 · 78 · 432	Discriminant
Eigenvalues	2- 3- 5+ 7-  2 -6  8 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3786,-345384]	[a1,a2,a3,a4,a6]
j	-6001678266883489/47966026720500	j-invariant
L	4.2901173468061	L(r)(E,1)/r!
Ω	0.26813233417538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72240bl2 27090x2 45150g2 63210bq2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030v2

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	-6	8	-6	8	6	0	-4	6	+	-8	0	6	-6	-12	12	4	16	8	2	14

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Quadratic twists for elliptic curve 9030v2

-4	-3	5	-7
72240bl2	27090x2	45150g2	63210bq2

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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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