Atkin-Lehner |
5+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145b |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
198240 |
Modular degree for the optimal curve |
Δ |
6916488130171165 = 5 · 78 · 132 · 175 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 0 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-47791,-385148] |
[a1,a2,a3,a4,a6] |
Generators |
[-212:416:1] [-110:1878:1] |
Generators of the group modulo torsion |
j |
2094048968704/1199779165 |
j-invariant |
L |
6.1813318554276 |
L(r)(E,1)/r! |
Ω |
0.35024193495062 |
Real period |
R |
0.5882916196484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145x1 |
Quadratic twists by: -7 |