Atkin-Lehner |
3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37791c |
Isogeny class |
Conductor |
37791 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
709933892946057 = 38 · 132 · 173 · 194 |
Discriminant |
Eigenvalues |
-1 3- 0 2 -6 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22370,128000] |
[a1,a2,a3,a4,a6] |
j |
1698149553297625/973846218033 |
j-invariant |
L |
0.86893338181607 |
L(r)(E,1)/r! |
Ω |
0.4344666909134 |
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 |
12597c1 |
Quadratic twists by: -3 |