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	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	11421388800 = 212 · 38 · 52 · 17	Discriminant
Eigenvalues	2+ 3- 5- -4  4 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-909,-8987]	[a1,a2,a3,a4,a6]
Generators	[-13:29:1]	Generators of the group modulo torsion
j	114013572049/15667200	j-invariant
L	2.0842644729353	L(r)(E,1)/r!
Ω	0.87735778861033	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	12240cc1 48960bt1 510d1 7650cf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530f1

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 1530f1

-4	8	-3	5	-7	17
12240cc1	48960bt1	510d1	7650cf1	74970bd1	26010o1

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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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