Atkin-Lehner |
2- 3- 19+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
108072k |
Isogeny class |
Conductor |
108072 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
472320 |
Modular degree for the optimal curve |
Δ |
132866642525184 = 210 · 36 · 192 · 793 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 6 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101307,-12398618] |
[a1,a2,a3,a4,a6] |
j |
154033289982436/177987079 |
j-invariant |
L |
3.2114494669604 |
L(r)(E,1)/r! |
Ω |
0.26762077432231 |
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 |
12008b1 |
Quadratic twists by: -3 |