Atkin-Lehner |
3- 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325t |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
454656 |
Modular degree for the optimal curve |
Δ |
-264069992109375 = -1 · 34 · 57 · 294 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5437,-766008] |
[a1,a2,a3,a4,a6] |
Generators |
[215045:8820113:125] |
Generators of the group modulo torsion |
j |
1137566234519/16900479495 |
j-invariant |
L |
6.7298751767531 |
L(r)(E,1)/r! |
Ω |
0.26983987037555 |
Real period |
R |
6.2350636528679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000156408 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25665h1 |
Quadratic twists by: 5 |