Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192cq |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-20184018944 = -1 · 212 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -4 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-969,-13801] |
[a1,a2,a3,a4,a6] |
j |
-24591397312/4927739 |
j-invariant |
L |
3.3859354227382 |
L(r)(E,1)/r! |
Ω |
0.42324192839464 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192ch1 32096b1 |
Quadratic twists by: -4 8 |