Atkin-Lehner |
2- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760s |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-92011758223360000 = -1 · 220 · 54 · 174 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 6 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76896,-16718080] |
[a1,a2,a3,a4,a6] |
j |
-12276672184572769/22463808160000 |
j-invariant |
L |
4.3244062316316 |
L(r)(E,1)/r! |
Ω |
0.13513769472421 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6970f2 |
Quadratic twists by: -4 |