Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
79560bg |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1120900950000 = -1 · 24 · 33 · 55 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,53199] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:65:1] [-27:255:1] |
Generators of the group modulo torsion |
j |
-406867062528/2594678125 |
j-invariant |
L |
10.383568323477 |
L(r)(E,1)/r! |
Ω |
0.74973311441501 |
Real period |
R |
0.1154140511649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79560a1 |
Quadratic twists by: -3 |