Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128744d |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2191737856 = -1 · 210 · 72 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,2268] |
[a1,a2,a3,a4,a6] |
Generators |
[18:84:1] |
Generators of the group modulo torsion |
j |
-58564/17689 |
j-invariant |
L |
12.56940159126 |
L(r)(E,1)/r! |
Ω |
1.189774846014 |
Real period |
R |
1.3205651492679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128744g1 |
Quadratic twists by: -11 |