Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176bm |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2935554048 = 216 · 34 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-8607] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1088:1] |
Generators of the group modulo torsion |
j |
976562500/44793 |
j-invariant |
L |
5.5196255531042 |
L(r)(E,1)/r! |
Ω |
0.89109987003951 |
Real period |
R |
3.0970858219897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176p1 26544e1 |
Quadratic twists by: -4 8 |