Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200cf |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-171520000000 = -1 · 215 · 57 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 5 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-19937] |
[a1,a2,a3,a4,a6] |
j |
-8/335 |
j-invariant |
L |
3.7141724687645 |
L(r)(E,1)/r! |
Ω |
0.4642715665094 |
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 |
107200ct1 53600g1 21440v1 |
Quadratic twists by: -4 8 5 |