Atkin-Lehner |
2+ 3- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
106176q |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1304690688 = 218 · 32 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673,-6721] |
[a1,a2,a3,a4,a6] |
Generators |
[787:22080:1] |
Generators of the group modulo torsion |
j |
128787625/4977 |
j-invariant |
L |
8.6578981431612 |
L(r)(E,1)/r! |
Ω |
0.9394520228796 |
Real period |
R |
4.6079511894046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176bn1 1659a1 |
Quadratic twists by: -4 8 |