Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192cd |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
86071338271296 = 26 · 32 · 710 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36962,2686200] |
[a1,a2,a3,a4,a6] |
Generators |
[586590:4191704:3375] |
Generators of the group modulo torsion |
j |
741709148608/11431161 |
j-invariant |
L |
10.363245815197 |
L(r)(E,1)/r! |
Ω |
0.60713534406297 |
Real period |
R |
8.5345433269474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016157 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108192e1 15456p1 |
Quadratic twists by: -4 -7 |