Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32368bi |
Isogeny class |
Conductor |
32368 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
183600 |
Modular degree for the optimal curve |
Δ |
-1875864884974192 = -1 · 24 · 75 · 178 |
Discriminant |
Eigenvalues |
2- 0 4 7- -4 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4913,-2088025] |
[a1,a2,a3,a4,a6] |
j |
-117504/16807 |
j-invariant |
L |
3.123808422375 |
L(r)(E,1)/r! |
Ω |
0.20825389482503 |
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 |
8092e1 129472do1 32368i1 |
Quadratic twists by: -4 8 17 |