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	16	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-45507096000 = -1 · 26 · 39 · 53 · 172	Discriminant
Eigenvalues	2+ 3- 5+  2  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,225,10125]	[a1,a2,a3,a4,a6]
Generators	[6:105:1]	Generators of the group modulo torsion
j	1723683599/62424000	j-invariant
L	2.088784049283	L(r)(E,1)/r!
Ω	0.85838225431824	Real period
R	0.60834903062565	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	12240bs1 48960da1 510g1 7650bw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530d1

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 1530d1

-4	8	-3	5	-7	17
12240bs1	48960da1	510g1	7650bw1	74970bq1	26010t1

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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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