Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462dd |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
497351516557978368 = 28 · 39 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56065613,161596010229] |
[a1,a2,a3,a4,a6] |
j |
5538928862777598289/141343488 |
j-invariant |
L |
6.8538774028801 |
L(r)(E,1)/r! |
Ω |
0.21418366884036 |
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 |
11154f2 2574k2 |
Quadratic twists by: -3 13 |