Atkin-Lehner |
2+ 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550f |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-112015750000 = -1 · 24 · 56 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-325,16125] |
[a1,a2,a3,a4,a6] |
j |
-244140625/7169008 |
j-invariant |
L |
3.5224696923015 |
L(r)(E,1)/r! |
Ω |
0.88061744461886 |
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 |
3542p1 |
Quadratic twists by: 5 |