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	1530h	Isogeny class
Conductor	1530	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	640	Modular degree for the optimal curve
Δ	-1023909660 = -1 · 22 · 311 · 5 · 172	Discriminant
Eigenvalues	2+ 3- 5-  2  0  4 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,126,-1472]	[a1,a2,a3,a4,a6]
j	302111711/1404540	j-invariant
L	1.5720041107043	L(r)(E,1)/r!
Ω	0.78600205535217	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12240ch1 48960ce1 510c1 7650bx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530h1

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	-4	-2	0	-2	4	10	8	-2	2	-14	2	6	-4	-12	-8	10	8

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Quadratic twists for elliptic curve 1530h1

-4	8	-3	5	-7	17
12240ch1	48960ce1	510c1	7650bx1	74970r1	26010m1

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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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