Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
128260d |
Isogeny class |
Conductor |
128260 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-15022837280000 = -1 · 28 · 54 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- -5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5284,-111916] |
[a1,a2,a3,a4,a6] |
j |
35969456/33125 |
j-invariant |
L |
1.535202136622 |
L(r)(E,1)/r! |
Ω |
0.38380059080432 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1060a1 |
Quadratic twists by: -11 |