Atkin-Lehner |
2+ 3- 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826k |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1157902430454 = -1 · 2 · 39 · 72 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11- 1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2025,37579] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-361:1] [-13:101:1] |
Generators of the group modulo torsion |
j |
1259362112399/1588343526 |
j-invariant |
L |
7.4110672953406 |
L(r)(E,1)/r! |
Ω |
0.58225984086586 |
Real period |
R |
0.39775343708233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18942o1 |
Quadratic twists by: -3 |