Atkin-Lehner |
2+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200o |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
-10720000000000 = -1 · 214 · 510 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 -6 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20000,-1100000] |
[a1,a2,a3,a4,a6] |
j |
-5529600/67 |
j-invariant |
L |
0.20058524818472 |
L(r)(E,1)/r! |
Ω |
0.20058512505492 |
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 |
107200bt1 6700a1 107200bb1 |
Quadratic twists by: -4 8 5 |