Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bp |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-12074506256384 = -1 · 219 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3 -1 1 11- 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5203,220946] |
[a1,a2,a3,a4,a6] |
j |
-2146689/1664 |
j-invariant |
L |
5.2423867294045 |
L(r)(E,1)/r! |
Ω |
0.65529834117558 |
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 |
3146i1 100672di1 208d1 |
Quadratic twists by: -4 8 -11 |