Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325w |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15195378515625 = 38 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28917,1890616] |
[a1,a2,a3,a4,a6] |
Generators |
[24:1088:1] |
Generators of the group modulo torsion |
j |
234770924809/1334025 |
j-invariant |
L |
5.824234021941 |
L(r)(E,1)/r! |
Ω |
0.70376495465621 |
Real period |
R |
2.0689556873382 |
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 |
5775i2 3465n2 121275df2 |
Quadratic twists by: -3 5 -7 |