Atkin-Lehner |
2- 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
84084m |
Isogeny class |
Conductor |
84084 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12405222815521536 = 28 · 312 · 73 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100732,11111080] |
[a1,a2,a3,a4,a6] |
j |
1287349025427376/141276681117 |
j-invariant |
L |
0.77570293763519 |
L(r)(E,1)/r! |
Ω |
0.38785148896382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84084z2 |
Quadratic twists by: -7 |