Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248r |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
32754285674496 = 220 · 310 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9804,-252560] |
[a1,a2,a3,a4,a6] |
Generators |
[-4092:21505:64] |
Generators of the group modulo torsion |
j |
545338513/171396 |
j-invariant |
L |
5.6806328976103 |
L(r)(E,1)/r! |
Ω |
0.49163778368862 |
Real period |
R |
5.7772541961586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13248be2 414c2 4416i2 |
Quadratic twists by: -4 8 -3 |