Cremona's table of elliptic curves

2220 = 2² · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	2220c	Isogeny class
Conductor	2220	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	3240	Modular degree for the optimal curve
Δ	-1094104800000 = -1 · 28 · 33 · 55 · 373	Discriminant
Eigenvalues	2- 3- 5+  2  0 -1  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1861,58439]	[a1,a2,a3,a4,a6]
j	-2785840267264/4273846875	j-invariant
L	2.3479788417255	L(r)(E,1)/r!
Ω	0.7826596139085	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8880p1 35520n1 6660f1 11100b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2220c1

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	0	-1	6	2	6	-9	-10	-	12	5	-3	9	9	2	-4	12	2	8	-9	9	14

---

Quadratic twists for elliptic curve 2220c1

-4	8	-3	5	-7	37
8880p1	35520n1	6660f1	11100b1	108780t1	82140i1

---

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