Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bm |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
66585273428800 = 26 · 52 · 75 · 195 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 5 -5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18558,896572] |
[a1,a2,a3,a4,a6] |
j |
441794843320000/41615795893 |
j-invariant |
L |
1.2044860514325 |
L(r)(E,1)/r! |
Ω |
0.60224302083321 |
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 |
106400q1 106400bc1 |
Quadratic twists by: -4 5 |