Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966v |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-76054566647370528 = -1 · 25 · 39 · 7 · 297 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 1 1 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72063,15232941] |
[a1,a2,a3,a4,a6] |
Generators |
[109:2889:1] |
Generators of the group modulo torsion |
j |
-95443993/175392 |
j-invariant |
L |
4.0879472390824 |
L(r)(E,1)/r! |
Ω |
0.3073069347437 |
Real period |
R |
1.6628111858918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999274229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322bf1 3654v1 |
Quadratic twists by: -3 29 |