Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6080p |
Isogeny class |
Conductor |
6080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-622592000000 = -1 · 221 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1921,49279] |
[a1,a2,a3,a4,a6] |
Generators |
[69:500:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
4.4264990692466 |
L(r)(E,1)/r! |
Ω |
0.83830408334605 |
Real period |
R |
1.3200756017967 |
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 |
6080a1 1520j1 54720ev1 30400bq1 |
Quadratic twists by: -4 8 -3 5 |