Atkin-Lehner |
5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775f |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-228331675 = -1 · 52 · 11 · 132 · 173 |
Discriminant |
Eigenvalues |
-1 0 5+ 1 11+ 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1060,13562] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-2:1] |
Generators of the group modulo torsion |
j |
-5264015238585/9133267 |
j-invariant |
L |
3.581521827063 |
L(r)(E,1)/r! |
Ω |
1.7664955831659 |
Real period |
R |
0.33791214096321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60775p1 |
Quadratic twists by: 5 |