Cremona's table of elliptic curves

2190 = 2 · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 73+	Signs for the Atkin-Lehner involutions
Class	2190k	Isogeny class
Conductor	2190	Conductor
∏ cp	594	Product of Tamagawa factors cp
deg	71280	Modular degree for the optimal curve
Δ	-4305715200000000000 = -1 · 227 · 32 · 511 · 73	Discriminant
Eigenvalues	2- 3+ 5-  2 -6 -4 -1 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,406710,668247]	[a1,a2,a3,a4,a6]
Generators	[5257:381371:1]	Generators of the group modulo torsion
j	7440090147724218899039/4305715200000000000	j-invariant
L	4.0169136475793	L(r)(E,1)/r!
Ω	0.14693368811378	Real period
R	0.04602403284769	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	17520v1 70080r1 6570b1 10950m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190k1

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
-	+	-	2	-6	-4	-1	-7	-5	-9	7	-1	7	-9	-12	8	-2	14	10	16	+	-2	0	-13	2

---

Quadratic twists for elliptic curve 2190k1

-4	8	-3	5	-7
17520v1	70080r1	6570b1	10950m1	107310dc1

---

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