Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650cm |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
8467200 |
Modular degree for the optimal curve |
Δ |
-4.1387148404066E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 4 3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5460688,-10951572508] |
[a1,a2,a3,a4,a6] |
j |
-1152512864423631752761/2648777497860226500 |
j-invariant |
L |
6.461157394266 |
L(r)(E,1)/r! |
Ω |
0.046151124697095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16530i1 |
Quadratic twists by: 5 |