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	1590i	Isogeny class
Conductor	1590	Conductor
∏ cp	100	Product of Tamagawa factors cp
Δ	-53327109375000 = -1 · 23 · 35 · 510 · 532	Discriminant
Eigenvalues	2+ 3- 5-  0 -4 -4  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,6917,-272194]	[a1,a2,a3,a4,a6]
Generators	[100:1142:1]	Generators of the group modulo torsion
j	36607265722975319/53327109375000	j-invariant
L	2.535802709987	L(r)(E,1)/r!
Ω	0.33431434582644	Real period
R	0.30340339762787	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	12720t2 50880c2 4770z2 7950be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590i2

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
+	-	-	0	-4	-4	0	-2	-4	-10	-4	-4	0	10	-6	+	4	4	4	-10	2	16	12	2	2

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Quadratic twists for elliptic curve 1590i2

-4	8	-3	5	-7	53
12720t2	50880c2	4770z2	7950be2	77910f2	84270x2

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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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