Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476g |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
33048 |
Modular degree for the optimal curve |
Δ |
1562882139728 = 24 · 73 · 136 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6013,-171108] |
[a1,a2,a3,a4,a6] |
j |
1502967414784000/97680133733 |
j-invariant |
L |
0.81654447614794 |
L(r)(E,1)/r! |
Ω |
0.54436298409863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
85904o1 |
Quadratic twists by: -4 |