Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160b |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
5841291698000 = 24 · 53 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1457138,677016313] |
[a1,a2,a3,a4,a6] |
j |
885956203616256/15125 |
j-invariant |
L |
1.0844610701349 |
L(r)(E,1)/r! |
Ω |
0.54223036159381 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
440c1 |
Quadratic twists by: 17 |