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	2190c	Isogeny class
Conductor	2190	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-34058880 = -1 · 27 · 36 · 5 · 73	Discriminant
Eigenvalues	2+ 3+ 5-  2 -2  4 -7 -3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-537,4581]	[a1,a2,a3,a4,a6]
Generators	[15:6:1]	Generators of the group modulo torsion
j	-17175508997401/34058880	j-invariant
L	2.2183632109165	L(r)(E,1)/r!
Ω	2.0721091068102	Real period
R	0.53529112043994	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	17520z1 70080w1 6570w1 10950bb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190c1

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	-2	4	-7	-3	-3	-5	-1	-3	-9	-3	8	0	10	-10	-2	4	-	-2	8	-13	18

---

Quadratic twists for elliptic curve 2190c1

-4	8	-3	5	-7
17520z1	70080w1	6570w1	10950bb1	107310bf1

---

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