Atkin-Lehner |
2+ 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
92414o |
Isogeny class |
Conductor |
92414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
163308106304 = 26 · 76 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -2 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22272,-1281010] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:54:1] [425:7915:1] |
Generators of the group modulo torsion |
j |
10384488145513/1388096 |
j-invariant |
L |
4.6764479174295 |
L(r)(E,1)/r! |
Ω |
0.39080991151491 |
Real period |
R |
5.9830211308769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886b1 |
Quadratic twists by: -7 |