Atkin-Lehner |
3- 7+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747d |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1246560 |
Modular degree for the optimal curve |
Δ |
-924250503461331123 = -1 · 36 · 77 · 117 · 79 |
Discriminant |
Eigenvalues |
1 3- -4 7+ 11+ 3 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105426,44311819] |
[a1,a2,a3,a4,a6] |
j |
177761233013428511/1267833338081387 |
j-invariant |
L |
0.20339331979721 |
L(r)(E,1)/r! |
Ω |
0.20339332090601 |
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 |
6083c1 |
Quadratic twists by: -3 |