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	6090s	Isogeny class
Conductor	6090	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	109281005859375000 = 23 · 32 · 516 · 73 · 29	Discriminant
Eigenvalues	2- 3+ 5+ 7+  4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3827786,2880863039]	[a1,a2,a3,a4,a6]
Generators	[1163:1387:1]	Generators of the group modulo torsion
j	6202498505128804178179489/109281005859375000	j-invariant
L	4.6683193700987	L(r)(E,1)/r!
Ω	0.30670837164127	Real period
R	5.0735702073356	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	48720cm4 18270v3 30450bi4 42630do4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090s4

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

---

Quadratic twists for elliptic curve 6090s4

-4	-3	5	-7
48720cm4	18270v3	30450bi4	42630do4

---

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