Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300f |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
1210078866671250000 = 24 · 3 · 57 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-914533,332744062] |
[a1,a2,a3,a4,a6] |
j |
1048576/15 |
j-invariant |
L |
1.6443499562034 |
L(r)(E,1)/r! |
Ω |
0.27405833423187 |
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 |
21660t1 108300bp1 |
Quadratic twists by: 5 -19 |