Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080p |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
245834868326400 = 226 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52256,-4518144] |
[a1,a2,a3,a4,a6] |
Generators |
[6106:476750:1] |
Generators of the group modulo torsion |
j |
3852836363704609/60018278400 |
j-invariant |
L |
4.5768844846516 |
L(r)(E,1)/r! |
Ω |
0.316063832964 |
Real period |
R |
7.2404432385227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2010h1 64320co1 48240ca1 80400cw1 |
Quadratic twists by: -4 8 -3 5 |