Cremona's table of elliptic curves

5220 = 2² · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	5220c	Isogeny class
Conductor	5220	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	5760	Modular degree for the optimal curve
Δ	-228322800 = -1 · 24 · 39 · 52 · 29	Discriminant
Eigenvalues	2- 3+ 5+  3  1 -5  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24813,1504413]	[a1,a2,a3,a4,a6]
Generators	[99:135:1]	Generators of the group modulo torsion
j	-5364759575808/725	j-invariant
L	3.9335313167781	L(r)(E,1)/r!
Ω	1.3757769976544	Real period
R	0.23826119854964	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	20880bj1 83520o1 5220f1 26100j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5220c1

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
-	+	+	3	1	-5	3	-2	-2	-	-4	-4	-10	-8	3	6	12	-4	-15	-6	6	-4	2	11	2

---

Quadratic twists for elliptic curve 5220c1

-4	8	-3	5
20880bj1	83520o1	5220f1	26100j1

---

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