Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200w |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
18580752000000 = 210 · 39 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11475,-425250] |
[a1,a2,a3,a4,a6] |
j |
530604/59 |
j-invariant |
L |
0.92921746634529 |
L(r)(E,1)/r! |
Ω |
0.46460887636589 |
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 |
106200c1 4248a1 |
Quadratic twists by: -3 5 |