Cremona's table of elliptic curves

6090 = 2 · 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7+ 29+	Signs for the Atkin-Lehner involutions
Class	6090a	Isogeny class
Conductor	6090	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	62361600 = 212 · 3 · 52 · 7 · 29	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-338,-2508]	[a1,a2,a3,a4,a6]
Generators	[-11:11:1]	Generators of the group modulo torsion
j	4290223486249/62361600	j-invariant
L	2.2991874182706	L(r)(E,1)/r!
Ω	1.1140008087093	Real period
R	2.0639010315751	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	48720ce1 18270bv1 30450cr1 42630bt1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090a1

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

---

Quadratic twists for elliptic curve 6090a1

-4	-3	5	-7
48720ce1	18270bv1	30450cr1	42630bt1

---

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