Atkin-Lehner |
2+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800ba |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-32181715000000 = -1 · 26 · 57 · 235 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 6 4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182383,30041637] |
[a1,a2,a3,a4,a6] |
j |
-670933008285184/32181715 |
j-invariant |
L |
6.1964743578874 |
L(r)(E,1)/r! |
Ω |
0.6196474357875 |
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 |
36800o1 18400h1 7360i1 |
Quadratic twists by: -4 8 5 |