Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bg |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-207445848064 = -1 · 212 · 72 · 13 · 433 |
Discriminant |
Eigenvalues |
2- 2 3 7- 6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-111331214,452094237643] |
[a1,a2,a3,a4,a6] |
j |
-3114429230374804081530989233/4233588736 |
j-invariant |
L |
10.955375068065 |
L(r)(E,1)/r! |
Ω |
0.30431597414309 |
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 |
54782bb2 |
Quadratic twists by: -7 |