Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600w |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1305000000 = 26 · 32 · 57 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1158,14688] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:150:1] |
Generators of the group modulo torsion |
j |
171879616/1305 |
j-invariant |
L |
6.0553301999151 |
L(r)(E,1)/r! |
Ω |
1.5353373731905 |
Real period |
R |
1.9719868430888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600i1 13920v1 |
Quadratic twists by: -4 5 |