Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600fc |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-332110471680000 = -1 · 212 · 310 · 54 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -5 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,876800] |
[a1,a2,a3,a4,a6] |
Generators |
[16:936:1] |
Generators of the group modulo torsion |
j |
-1600/177957 |
j-invariant |
L |
7.8974148442141 |
L(r)(E,1)/r! |
Ω |
0.43141755800731 |
Real period |
R |
1.5254777899255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600fd1 31200m1 93600be1 |
Quadratic twists by: -4 -3 5 |