Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13456f |
Isogeny class |
Conductor |
13456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.9989315200132E+20 |
Discriminant |
Eigenvalues |
2- -1 1 2 -3 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6122760,5872930288] |
[a1,a2,a3,a4,a6] |
j |
-10418796526321/82044596 |
j-invariant |
L |
0.71805984553998 |
L(r)(E,1)/r! |
Ω |
0.17951496138499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682a2 53824u2 121104bv2 464c2 |
Quadratic twists by: -4 8 -3 29 |