Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
58080a |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1131756753600 = -1 · 26 · 312 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2306,-65844] |
[a1,a2,a3,a4,a6] |
Generators |
[108:966:1] |
Generators of the group modulo torsion |
j |
-15926924096/13286025 |
j-invariant |
L |
6.0987442486555 |
L(r)(E,1)/r! |
Ω |
0.33270731939369 |
Real period |
R |
4.5826646222953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080p1 116160io2 58080bf1 |
Quadratic twists by: -4 8 -11 |