Atkin-Lehner |
5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60775p |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3567682421875 = -1 · 58 · 11 · 132 · 173 |
Discriminant |
Eigenvalues |
1 0 5- -1 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26492,1668791] |
[a1,a2,a3,a4,a6] |
Generators |
[590:2383:8] [94:3:1] |
Generators of the group modulo torsion |
j |
-5264015238585/9133267 |
j-invariant |
L |
11.088369222112 |
L(r)(E,1)/r! |
Ω |
0.79000084118242 |
Real period |
R |
2.3393159104142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60775f1 |
Quadratic twists by: 5 |