Atkin-Lehner |
2+ 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782x |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-703049011214694872 = -1 · 23 · 711 · 13 · 434 |
Discriminant |
Eigenvalues |
2+ 1 4 7- 3 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115029,43035864] |
[a1,a2,a3,a4,a6] |
j |
-1430711531517241/5975817994328 |
j-invariant |
L |
3.9873846095606 |
L(r)(E,1)/r! |
Ω |
0.24921153812849 |
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 |
7826e1 |
Quadratic twists by: -7 |