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	9030bb	Isogeny class
Conductor	9030	Conductor
∏ cp	840	Product of Tamagawa factors cp
Δ	1842860742187500000 = 25 · 36 · 514 · 7 · 432	Discriminant
Eigenvalues	2- 3- 5- 7- -4 -2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-800925,267980625]	[a1,a2,a3,a4,a6]
Generators	[-900:16575:1]	Generators of the group modulo torsion
j	56819747014116173413201/1842860742187500000	j-invariant
L	7.9385574315645	L(r)(E,1)/r!
Ω	0.26243031363379	Real period
R	0.14404835292303	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	72240cb2 27090n2 45150h2 63210bj2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030bb2

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

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Quadratic twists for elliptic curve 9030bb2

-4	-3	5	-7
72240cb2	27090n2	45150h2	63210bj2

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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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