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	2190o	Isogeny class
Conductor	2190	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	1229187972656250000 = 24 · 310 · 512 · 732	Discriminant
Eigenvalues	2- 3- 5+  4  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-5062611,-4384495215]	[a1,a2,a3,a4,a6]
j	14349851037065469023226289/1229187972656250000	j-invariant
L	4.0259477866744	L(r)(E,1)/r!
Ω	0.10064869466686	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	17520l2 70080q2 6570o2 10950c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2190o2

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

---

Quadratic twists for elliptic curve 2190o2

-4	8	-3	5	-7
17520l2	70080q2	6570o2	10950c2	107310cr2

---

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