Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105056f |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
173036266816 = 26 · 79 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 6 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3446,-74108] |
[a1,a2,a3,a4,a6] |
Generators |
[96:686:1] |
Generators of the group modulo torsion |
j |
601211584/22981 |
j-invariant |
L |
5.5480337571501 |
L(r)(E,1)/r! |
Ω |
0.62457024741034 |
Real period |
R |
1.1103702493081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105056i1 15008g1 |
Quadratic twists by: -4 -7 |