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	48	Product of Tamagawa factors cp
Δ	-1055777268060 = -1 · 22 · 37 · 5 · 176	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-29475,1955745]	[a1,a2,a3,a4,a6]
Generators	[-147:1833:1]	Generators of the group modulo torsion
j	-3884775383991601/1448254140	j-invariant
L	2.088784049283	L(r)(E,1)/r!
Ω	0.85838225431824	Real period
R	1.8250470918769	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	12240bs3 48960da3 510g3 7650bw3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530d3

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 1530d3

-4	8	-3	5	-7	17
12240bs3	48960da3	510g3	7650bw3	74970bq3	26010t3

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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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