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
deg	1370880	Modular degree for the optimal curve
Δ	6.8128302673428E+22	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-112148803,-456967188802]	[a1,a2,a3,a4,a6]
Generators	[-6026:8525:1]	Generators of the group modulo torsion
j	155993906575104092056816286761/68128302673428480000000	j-invariant
L	3.5658313996459	L(r)(E,1)/r!
Ω	0.046394049122629	Real period
R	1.8299921911581	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	48720bt1 18270bo1 30450ce1 42630f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6090o1

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 6090o1

-4	-3	5	-7
48720bt1	18270bo1	30450ce1	42630f1

---

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