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	1590u	Isogeny class
Conductor	1590	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	309096000 = 26 · 36 · 53 · 53	Discriminant
Eigenvalues	2- 3- 5-  2  0 -4  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-210,-828]	[a1,a2,a3,a4,a6]
j	1024497361441/309096000	j-invariant
L	3.8502503633537	L(r)(E,1)/r!
Ω	1.2834167877846	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	12720u1 50880e1 4770k1 7950b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590u1

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	0	8	0	6	-10	-4	12	8	-12	+	0	8	-4	-12	-10	-10	0	-6	2

---

Quadratic twists for elliptic curve 1590u1

-4	8	-3	5	-7	53
12720u1	50880e1	4770k1	7950b1	77910bp1	84270b1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations