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	1530b	Isogeny class
Conductor	1530	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	-5260620297600000 = -1 · 210 · 39 · 55 · 174	Discriminant
Eigenvalues	2+ 3+ 5- -2 -2  0 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-81474,9627668]	[a1,a2,a3,a4,a6]
Generators	[127:1084:1]	Generators of the group modulo torsion
j	-3038732943445107/267267200000	j-invariant
L	2.1276945051867	L(r)(E,1)/r!
Ω	0.42068152783623	Real period
R	0.2528866095132	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	12240bk1 48960k1 1530i1 7650bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530b1

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	-2	0	-	4	-8	-6	4	0	-4	-4	-8	2	-6	2	-16	8	10	4	-4	-12	-2

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Quadratic twists for elliptic curve 1530b1

-4	8	-3	5	-7	17
12240bk1	48960k1	1530i1	7650bj1	74970b1	26010b1

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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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