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	1530p	Isogeny class
Conductor	1530	Conductor
∏ cp	576	Product of Tamagawa factors cp
Δ	-210681000000000000 = -1 · 212 · 36 · 512 · 172	Discriminant
Eigenvalues	2- 3- 5-  2 -6  2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,146803,4319669]	[a1,a2,a3,a4,a6]
j	479958568556831351/289000000000000	j-invariant
L	3.1020193881933	L(r)(E,1)/r!
Ω	0.19387621176208	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	12240ca4 48960bm4 170b4 7650y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530p4

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

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Quadratic twists for elliptic curve 1530p4

-4	8	-3	5	-7	17
12240ca4	48960bm4	170b4	7650y4	74970dd4	26010bl4

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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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