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	7590s	Isogeny class
Conductor	7590	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	4032	Modular degree for the optimal curve
Δ	-327888000 = -1 · 27 · 34 · 53 · 11 · 23	Discriminant
Eigenvalues	2- 3+ 5- -3 11+  4  0 -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-650,6167]	[a1,a2,a3,a4,a6]
Generators	[-3:91:1]	Generators of the group modulo torsion
j	-30374248413601/327888000	j-invariant
L	5.2606329894478	L(r)(E,1)/r!
Ω	1.7210833509213	Real period
R	0.072775770184736	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	60720dg1 22770q1 37950bd1 83490l1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 7590s1

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	+	4	0	-5	+	7	-6	-6	0	-2	3	-4	3	-8	7	-2	-1	0	0	-8	-9

---

Quadratic twists for elliptic curve 7590s1

-4	-3	5	-11
60720dg1	22770q1	37950bd1	83490l1

---

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