Cremona's table of elliptic curves

1530 = 2 · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	1530l	Isogeny class
Conductor	1530	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	28910390400 = 27 · 312 · 52 · 17	Discriminant
Eigenvalues	2- 3- 5+ -2 -4  0 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-104423,13014047]	[a1,a2,a3,a4,a6]
Generators	[207:-590:1]	Generators of the group modulo torsion
j	172735174415217961/39657600	j-invariant
L	3.6075891899523	L(r)(E,1)/r!
Ω	0.93814742387848	Real period
R	0.2746742522344	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	12240bo2 48960cs2 510b2 7650v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530l2

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	-4	0	+	4	-4	-6	-8	-6	-8	2	8	-14	-6	2	2	10	4	4	16	-6	-8

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Quadratic twists for elliptic curve 1530l2

-4	8	-3	5	-7	17
12240bo2	48960cs2	510b2	7650v2	74970ea2	26010bu2

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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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