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	1530g	Isogeny class
Conductor	1530	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	2520	Modular degree for the optimal curve
Δ	-3248750592000 = -1 · 221 · 36 · 53 · 17	Discriminant
Eigenvalues	2+ 3- 5-  2  0 -1 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,3591,24813]	[a1,a2,a3,a4,a6]
j	7023836099951/4456448000	j-invariant
L	1.4848426535198	L(r)(E,1)/r!
Ω	0.49494755117327	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12240cg1 48960cd1 170c1 7650bv1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1530g1

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	-1	-	-1	6	3	5	8	-6	-10	3	3	-3	11	2	-9	11	8	12	-15	-7

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Quadratic twists for elliptic curve 1530g1

-4	8	-3	5	-7	17
12240cg1	48960cd1	170c1	7650bv1	74970n1	26010l1

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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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