Cremona's table of elliptic curves

7590 = 2 · 3 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11+ 23-	Signs for the Atkin-Lehner involutions
Class	7590z	Isogeny class
Conductor	7590	Conductor
∏ cp	660	Product of Tamagawa factors cp
deg	42240	Modular degree for the optimal curve
Δ	-474176460780000 = -1 · 25 · 311 · 54 · 11 · 233	Discriminant
Eigenvalues	2- 3- 5- -3 11+ -5  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,3335,-1044775]	[a1,a2,a3,a4,a6]
Generators	[920:-28405:1]	Generators of the group modulo torsion
j	4102070196173039/474176460780000	j-invariant
L	7.0312012944602	L(r)(E,1)/r!
Ω	0.24899103414886	Real period
R	0.04278601970972	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	60720bv1 22770l1 37950c1 83490bg1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590z1

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
-	-	-	-3	+	-5	2	-4	-	4	-9	7	5	6	-10	-6	-9	6	-5	-12	6	-4	-17	-14	2

---

Quadratic twists for elliptic curve 7590z1

-4	-3	5	-11
60720bv1	22770l1	37950c1	83490bg1

---

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