Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13800bc |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
6706800000000 = 210 · 36 · 58 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6208,139088] |
[a1,a2,a3,a4,a6] |
Generators |
[8:300:1] |
Generators of the group modulo torsion |
j |
66158980/16767 |
j-invariant |
L |
6.1393827709138 |
L(r)(E,1)/r! |
Ω |
0.70202148336267 |
Real period |
R |
0.24292477416258 |
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 |
27600m1 110400ce1 41400s1 13800a1 |
Quadratic twists by: -4 8 -3 5 |