Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776n |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-51493421056 = -1 · 214 · 75 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 11+ 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33745,2374767] |
[a1,a2,a3,a4,a6] |
Generators |
[127:392:1] |
Generators of the group modulo torsion |
j |
-259385049258064/3142909 |
j-invariant |
L |
5.5011106422828 |
L(r)(E,1)/r! |
Ω |
1.0219302761812 |
Real period |
R |
0.26915293407117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776z1 5236e1 |
Quadratic twists by: -4 8 |