Atkin-Lehner |
2- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6080l |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-15564800 = -1 · 215 · 52 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 0 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,865] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:40:1] [3:20:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
4.0120628512895 |
L(r)(E,1)/r! |
Ω |
2.1975869865569 |
Real period |
R |
0.22820842109051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6080q1 3040b1 54720em1 30400be1 |
Quadratic twists by: -4 8 -3 5 |