Atkin-Lehner |
37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
56129b |
Isogeny class |
Conductor |
56129 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1017792 |
Modular degree for the optimal curve |
Δ |
242083596443689241 = 378 · 413 |
Discriminant |
Eigenvalues |
-1 0 2 -4 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1982569,-1073704112] |
[a1,a2,a3,a4,a6] |
j |
335890789988697/94352849 |
j-invariant |
L |
0.38169904078415 |
L(r)(E,1)/r! |
Ω |
0.12723301393225 |
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 |
1517a1 |
Quadratic twists by: 37 |