Atkin-Lehner |
3- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525m |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-50721405029296875 = -1 · 34 · 515 · 172 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 2 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,20467,-10770031] |
[a1,a2,a3,a4,a6] |
Generators |
[193:637:1] |
Generators of the group modulo torsion |
j |
60679925006336/3246169921875 |
j-invariant |
L |
5.562523509778 |
L(r)(E,1)/r! |
Ω |
0.17028673106647 |
Real period |
R |
2.041601937776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999997809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105a1 |
Quadratic twists by: 5 |