Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13904d |
Isogeny class |
Conductor |
13904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8372160 |
Modular degree for the optimal curve |
Δ |
1.1244376774807E+23 |
Discriminant |
Eigenvalues |
2- -3 1 -1 11+ 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1404506887,-20259736171358] |
[a1,a2,a3,a4,a6] |
j |
1196893107776952772633673036496/439233467765886286999 |
j-invariant |
L |
0.78916637834113 |
L(r)(E,1)/r! |
Ω |
0.02466144932316 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3476b1 55616bb1 125136t1 |
Quadratic twists by: -4 8 -3 |