Atkin-Lehner |
2- 11+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23452a |
Isogeny class |
Conductor |
23452 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
70848 |
Modular degree for the optimal curve |
Δ |
-567534586141952 = -1 · 28 · 114 · 133 · 413 |
Discriminant |
Eigenvalues |
2- 1 0 2 11+ 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10868,1222724] |
[a1,a2,a3,a4,a6] |
j |
-554590717522000/2216931977117 |
j-invariant |
L |
2.7101357603209 |
L(r)(E,1)/r! |
Ω |
0.45168929338682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
93808bk1 |
Quadratic twists by: -4 |