Atkin-Lehner |
3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
90525p |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-178799039296875 = -1 · 38 · 57 · 173 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -5 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-125158,17013094] |
[a1,a2,a3,a4,a6] |
Generators |
[203:-113:1] [-247:5737:1] |
Generators of the group modulo torsion |
j |
-13876597767614464/11443138515 |
j-invariant |
L |
6.3612553840645 |
L(r)(E,1)/r! |
Ω |
0.56589838885817 |
Real period |
R |
0.11709359528761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997689 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18105b1 |
Quadratic twists by: 5 |