Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656cw |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-540634659618816 = -1 · 216 · 33 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16056,793584] |
[a1,a2,a3,a4,a6] |
j |
949862087/1121904 |
j-invariant |
L |
1.3887521565281 |
L(r)(E,1)/r! |
Ω |
0.34718797250868 |
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 |
15582n1 17808u1 |
Quadratic twists by: -4 -7 |