Cremona's table of elliptic curves

5808 = 2⁴ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	5808t	Isogeny class
Conductor	5808	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	44352	Modular degree for the optimal curve
Δ	-4840545928737024 = -1 · 28 · 36 · 1110	Discriminant
Eigenvalues	2- 3+  3  2 11- -5  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-63444,-6981588]	[a1,a2,a3,a4,a6]
Generators	[656290407:-4794249924:2048383]	Generators of the group modulo torsion
j	-4253392/729	j-invariant
L	4.2298004298617	L(r)(E,1)/r!
Ω	0.14901274041687	Real period
R	14.192747606777	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	1452f1 23232ds1 17424cd1 5808u1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808t1

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	2	-	-5	3	-4	-6	9	-8	-7	3	-10	-12	-9	6	-14	-2	6	10	8	0	-3	-1

---

Quadratic twists for elliptic curve 5808t1

-4	8	-3	-11
1452f1	23232ds1	17424cd1	5808u1

---

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