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	9030o	Isogeny class
Conductor	9030	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	2.6843650457702E+20	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-5461344000,-155347323262815]	[a1,a2,a3,a4,a6]
Generators	[87293:5709933:1]	Generators of the group modulo torsion
j	18014504063010568295941668865536001/268436504577024000000	j-invariant
L	5.7308368075565	L(r)(E,1)/r!
Ω	0.017562028252398	Real period
R	6.7983282895846	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72240dd2 27090e2 45150bf2 63210cd2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9030o2

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

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Quadratic twists for elliptic curve 9030o2

-4	-3	5	-7
72240dd2	27090e2	45150bf2	63210cd2

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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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