Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109120bb |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
8939683280000000 = 210 · 57 · 112 · 314 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-118261,14938539] |
[a1,a2,a3,a4,a6] |
Generators |
[-394:725:1] |
Generators of the group modulo torsion |
j |
178629041914249216/8730159453125 |
j-invariant |
L |
5.187134747179 |
L(r)(E,1)/r! |
Ω |
0.40641015507836 |
Real period |
R |
6.3816500254148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120f1 27280p1 |
Quadratic twists by: -4 8 |