Cremona's table of elliptic curves

1590 = 2 · 3 · 5 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 53-	Signs for the Atkin-Lehner involutions
Class	1590g	Isogeny class
Conductor	1590	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	28080	Modular degree for the optimal curve
Δ	-1685778818809651200 = -1 · 213 · 39 · 52 · 535	Discriminant
Eigenvalues	2+ 3- 5+  1 -5  2 -4  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,258361,36727562]	[a1,a2,a3,a4,a6]
Generators	[246:10609:1]	Generators of the group modulo torsion
j	1907247257179943046551/1685778818809651200	j-invariant
L	2.3803598389453	L(r)(E,1)/r!
Ω	0.17314858113833	Real period
R	0.15274998201583	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	12720q1 50880n1 4770ba1 7950bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590g1

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
+	-	+	1	-5	2	-4	1	-5	-1	-2	-8	-1	-4	10	-	0	-15	1	5	2	8	-18	-12	7

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Quadratic twists for elliptic curve 1590g1

-4	8	-3	5	-7	53
12720q1	50880n1	4770ba1	7950bb1	77910u1	84270bc1

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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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