Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102q |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-26972631139549184 = -1 · 216 · 178 · 59 |
Discriminant |
Eigenvalues |
2- 3 3 1 0 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,53844,-6283217] |
[a1,a2,a3,a4,a6] |
j |
715236537807/1117454336 |
j-invariant |
L |
12.684330025805 |
L(r)(E,1)/r! |
Ω |
0.19819265665337 |
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 |
2006k1 |
Quadratic twists by: 17 |