Atkin-Lehner |
2+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43378b |
Isogeny class |
Conductor |
43378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-765351715328 = -1 · 29 · 232 · 414 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 -4 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1241,-45851] |
[a1,a2,a3,a4,a6] |
j |
-400064554633/1446789632 |
j-invariant |
L |
0.73733703569363 |
L(r)(E,1)/r! |
Ω |
0.36866851784897 |
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 |
43378a1 |
Quadratic twists by: -23 |