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	6090o	Isogeny class
Conductor	6090	Conductor
∏ cp	168	Product of Tamagawa factors cp
Δ	-1.047210690456E+26	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-94454083,-606020432194]	[a1,a2,a3,a4,a6]
Generators	[12940:575342:1]	Generators of the group modulo torsion
j	-93193562485609541178639088681/104721069045600000000000000	j-invariant
L	3.5658313996459	L(r)(E,1)/r!
Ω	0.023197024561314	Real period
R	3.6599843823163	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	48720bt2 18270bo2 30450ce2 42630f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090o2

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

---

Quadratic twists for elliptic curve 6090o2

-4	-3	5	-7
48720bt2	18270bo2	30450ce2	42630f2

---

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