Atkin-Lehner |
3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12675w |
Isogeny class |
Conductor |
12675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6462116805421875 = 3 · 56 · 1310 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82476,8248723] |
[a1,a2,a3,a4,a6] |
j |
822656953/85683 |
j-invariant |
L |
0.82030406517117 |
L(r)(E,1)/r! |
Ω |
0.41015203258559 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38025bm3 507c4 975g4 |
Quadratic twists by: -3 5 13 |