Atkin-Lehner |
2+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86632a |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
326149381376 = 28 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 3 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-653885] |
[a1,a2,a3,a4,a6] |
j |
213541888/221 |
j-invariant |
L |
1.7502009523179 |
L(r)(E,1)/r! |
Ω |
0.43755021592297 |
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 |
86632g1 |
Quadratic twists by: -7 |