Atkin-Lehner |
2- 3- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692w |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
11759669522559504 = 24 · 39 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -2 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-229557,42010733] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:7803:1] |
Generators of the group modulo torsion |
j |
114695881243227904/1008202119561 |
j-invariant |
L |
6.2863116518016 |
L(r)(E,1)/r! |
Ω |
0.40411479137991 |
Real period |
R |
0.18518758795898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564d1 |
Quadratic twists by: -3 |