Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560a |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-817136792550000 = -1 · 24 · 39 · 55 · 132 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10503,-1436373] |
[a1,a2,a3,a4,a6] |
Generators |
[414:8073:1] |
Generators of the group modulo torsion |
j |
-406867062528/2594678125 |
j-invariant |
L |
5.5032039499028 |
L(r)(E,1)/r! |
Ω |
0.21027057090895 |
Real period |
R |
3.2715015260762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79560bg1 |
Quadratic twists by: -3 |