Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bo |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1305000000 = 26 · 32 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1258,-17512] |
[a1,a2,a3,a4,a6] |
Generators |
[98:900:1] |
Generators of the group modulo torsion |
j |
220348864/1305 |
j-invariant |
L |
5.9970677097402 |
L(r)(E,1)/r! |
Ω |
0.80187289902252 |
Real period |
R |
1.8697064450953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600b1 13920d1 |
Quadratic twists by: -4 5 |