Atkin-Lehner |
2- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93058o |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
53696699392 = 210 · 73 · 172 · 232 |
Discriminant |
Eigenvalues |
2- -1 0 7- -4 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-958,2043] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:71:1] [-7:95:1] |
Generators of the group modulo torsion |
j |
336473394625/185801728 |
j-invariant |
L |
13.631933574493 |
L(r)(E,1)/r! |
Ω |
0.97272638662609 |
Real period |
R |
0.23356916810044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93058k1 |
Quadratic twists by: 17 |