Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
107800k |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
110972419250000 = 24 · 56 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28583,-1799162] |
[a1,a2,a3,a4,a6] |
j |
256000/11 |
j-invariant |
L |
0.73629656958953 |
L(r)(E,1)/r! |
Ω |
0.36814827053862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4312i1 107800j1 |
Quadratic twists by: 5 -7 |