Atkin-Lehner |
2+ 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
125248l |
Isogeny class |
Conductor |
125248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-9981235560448 = -1 · 228 · 192 · 103 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12833,-584129] |
[a1,a2,a3,a4,a6] |
j |
-891666015625/38075392 |
j-invariant |
L |
0.44743597183067 |
L(r)(E,1)/r! |
Ω |
0.223717986204 |
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 |
125248bj1 3914e1 |
Quadratic twists by: -4 8 |