Atkin-Lehner |
2- 5+ 29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450k |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
442250000 = 24 · 56 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-955,11547] |
[a1,a2,a3,a4,a6] |
j |
6158676537/28304 |
j-invariant |
L |
6.7201381783174 |
L(r)(E,1)/r! |
Ω |
1.680034579207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
0.9999999793887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3538a1 |
Quadratic twists by: 5 |