Cremona's table of elliptic curves

6080 = 2⁶ · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	6080p	Isogeny class
Conductor	6080	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-89902284800 = -1 · 219 · 52 · 193	Discriminant
Eigenvalues	2-  1 5+  1  0  1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-177921,28826879]	[a1,a2,a3,a4,a6]
Generators	[229:380:1]	Generators of the group modulo torsion
j	-2376117230685121/342950	j-invariant
L	4.4264990692466	L(r)(E,1)/r!
Ω	0.83830408334605	Real period
R	0.4400252005989	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	6080a2 1520j2 54720ev2 30400bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6080p2

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
-	1	+	1	0	1	-3	-	-3	3	-2	10	6	2	0	-3	3	-8	-7	-12	-13	-14	6	6	-10

---

Quadratic twists for elliptic curve 6080p2

-4	8	-3	5	-19
6080a2	1520j2	54720ev2	30400bq2	115520by2

---

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