Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966bn |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
9506820830921316 = 22 · 39 · 7 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-80894,7531273] |
[a1,a2,a3,a4,a6] |
Generators |
[18881687:93323243:79507] |
Generators of the group modulo torsion |
j |
5000211/812 |
j-invariant |
L |
13.372802886362 |
L(r)(E,1)/r! |
Ω |
0.39126702638807 |
Real period |
R |
8.5445501488269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966h1 3654c1 |
Quadratic twists by: -3 29 |