Atkin-Lehner |
2+ 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782i |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3400795217038524032 = -1 · 27 · 711 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -1 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,661,88725757] |
[a1,a2,a3,a4,a6] |
j |
270840023/28906282391168 |
j-invariant |
L |
1.5929168491137 |
L(r)(E,1)/r! |
Ω |
0.19911460627096 |
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 |
7826b1 |
Quadratic twists by: -7 |