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	1590q	Isogeny class
Conductor	1590	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	30229559822250000 = 24 · 316 · 56 · 532	Discriminant
Eigenvalues	2- 3+ 5- -4  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-905640,331244697]	[a1,a2,a3,a4,a6]
j	82146777284059539615361/30229559822250000	j-invariant
L	2.1894803735204	L(r)(E,1)/r!
Ω	0.36491339558673	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	12720bj2 50880z2 4770h2 7950m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1590q2

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
-	+	-	-4	4	-2	2	0	8	-2	4	-10	10	8	12	-	12	-2	-4	-12	-6	12	-4	10	-14

---

Quadratic twists for elliptic curve 1590q2

-4	8	-3	5	-7	53
12720bj2	50880z2	4770h2	7950m2	77910cj2	84270l2

---

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