Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488y |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-59579786330112 = -1 · 236 · 3 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 0 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15073,-808321] |
[a1,a2,a3,a4,a6] |
j |
-4999353625/786432 |
j-invariant |
L |
3.8445618485688 |
L(r)(E,1)/r! |
Ω |
0.21358676941393 |
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 |
55488bz2 1734a2 55488p2 |
Quadratic twists by: -4 8 17 |