Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1106841792000000 = -1 · 212 · 3 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45733,-4105837] |
[a1,a2,a3,a4,a6] |
Generators |
[2034388666642378:-15304172465399775:7381842424111] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
7.8344739596316 |
L(r)(E,1)/r! |
Ω |
0.16227415921892 |
Real period |
R |
24.139622714244 |
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 |
3675d1 2352j1 58800fm1 |
Quadratic twists by: -4 5 -7 |