Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cs |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-50309120000 = -1 · 214 · 54 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- -3 0 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5808,168788] |
[a1,a2,a3,a4,a6] |
Generators |
[28:170:1] |
Generators of the group modulo torsion |
j |
-1723025/4 |
j-invariant |
L |
6.6511805997819 |
L(r)(E,1)/r! |
Ω |
1.1291574713625 |
Real period |
R |
0.49086603323407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450bj1 115600br2 115600cz1 |
Quadratic twists by: -4 5 17 |