Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192bo |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
328704 |
Modular degree for the optimal curve |
Δ |
243845507452928 = 212 · 173 · 594 |
Discriminant |
Eigenvalues |
2- 2 0 -4 6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15833,158873] |
[a1,a2,a3,a4,a6] |
j |
107171875000000/59532594593 |
j-invariant |
L |
3.8508797285577 |
L(r)(E,1)/r! |
Ω |
0.48135996737153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64192bz1 32096f1 |
Quadratic twists by: -4 8 |