Atkin-Lehner |
5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60775i |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6528564453125 = 512 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 11- 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28751,-1874727] |
[a1,a2,a3,a4,a6] |
Generators |
[-270942:304599:2744] |
Generators of the group modulo torsion |
j |
168205749285601/417828125 |
j-invariant |
L |
4.6303473834665 |
L(r)(E,1)/r! |
Ω |
0.36669328371372 |
Real period |
R |
6.3136517478648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12155g2 |
Quadratic twists by: 5 |