Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525u |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5073623862890625 = 310 · 58 · 72 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44667,-1196384] |
[a1,a2,a3,a4,a6] |
Generators |
[24500:380681:64] |
Generators of the group modulo torsion |
j |
865250742889/445421025 |
j-invariant |
L |
8.037067885444 |
L(r)(E,1)/r! |
Ω |
0.34717836393989 |
Real period |
R |
5.7874199017684 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921956 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35175i2 21105j2 |
Quadratic twists by: -3 5 |