Atkin-Lehner |
2+ 3- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176o |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
104860926148608 = 216 · 310 · 73 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33537,-2323233] |
[a1,a2,a3,a4,a6] |
j |
63654537026308/1600050753 |
j-invariant |
L |
3.5333211833292 |
L(r)(E,1)/r! |
Ω |
0.35333210381541 |
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 |
106176bs1 13272a1 |
Quadratic twists by: -4 8 |