Atkin-Lehner |
2- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34102n |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6585115024304 = -1 · 24 · 178 · 59 |
Discriminant |
Eigenvalues |
2- 1 3 -1 -4 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3474,-146764] |
[a1,a2,a3,a4,a6] |
j |
-192100033/272816 |
j-invariant |
L |
4.731253026416 |
L(r)(E,1)/r! |
Ω |
0.29570331415115 |
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 |
2006j1 |
Quadratic twists by: 17 |