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	1530f	Isogeny class
Conductor	1530	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-79895670769800 = -1 · 23 · 314 · 52 · 174	Discriminant
Eigenvalues	2+ 3- 5- -4  4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,5211,403645]	[a1,a2,a3,a4,a6]
Generators	[21:712:1]	Generators of the group modulo torsion
j	21464092074671/109596256200	j-invariant
L	2.0842644729353	L(r)(E,1)/r!
Ω	0.43867889430517	Real period
R	1.187807585453	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	12240cc4 48960bt3 510d4 7650cf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530f4

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	4	-2	+	-4	4	-2	4	-6	-2	-12	-8	2	-12	2	4	4	-14	-12	4	-10	18

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Quadratic twists for elliptic curve 1530f4

-4	8	-3	5	-7	17
12240cc4	48960bt3	510d4	7650cf4	74970bd3	26010o3

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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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