Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cu |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1844278655281344 = -1 · 26 · 35 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -5 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976049,371486487] |
[a1,a2,a3,a4,a6] |
j |
-13549359104/243 |
j-invariant |
L |
0.86236733459929 |
L(r)(E,1)/r! |
Ω |
0.43118366770234 |
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 |
55488bo2 13872bm2 55488dy2 |
Quadratic twists by: -4 8 17 |