Atkin-Lehner |
3- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
125775x |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2464168078125 = 38 · 56 · 13 · 432 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16205,-786328] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:91:1] [-71:85:1] |
Generators of the group modulo torsion |
j |
41314084993/216333 |
j-invariant |
L |
7.3543472578336 |
L(r)(E,1)/r! |
Ω |
0.42327857841395 |
Real period |
R |
4.3436802857425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999892561 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41925m2 5031c2 |
Quadratic twists by: -3 5 |