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	1530d	Isogeny class
Conductor	1530	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1611709650 = 2 · 38 · 52 · 173	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-471645,124790571]	[a1,a2,a3,a4,a6]
Generators	[213:5721:1]	Generators of the group modulo torsion
j	15916310615119911121/2210850	j-invariant
L	2.088784049283	L(r)(E,1)/r!
Ω	0.85838225431824	Real period
R	3.6500941837539	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	12240bs4 48960da4 510g4 7650bw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530d4

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

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Quadratic twists for elliptic curve 1530d4

-4	8	-3	5	-7	17
12240bs4	48960da4	510g4	7650bw4	74970bq4	26010t4

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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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