Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
67100k |
Isogeny class |
Conductor |
67100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
562801250000 = 24 · 57 · 112 · 612 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11- -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4533,-113312] |
[a1,a2,a3,a4,a6] |
j |
41213231104/2251205 |
j-invariant |
L |
1.1676170824609 |
L(r)(E,1)/r! |
Ω |
0.58380853604377 |
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 |
13420e1 |
Quadratic twists by: 5 |