Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bo |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
10 |
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 |
6.8350808932615 |
L(r)(E,1)/r! |
Ω |
0.075945343263033 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488cu2 867c2 55488n2 |
Quadratic twists by: -4 8 17 |