Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714w |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-560947658597187264 = -1 · 26 · 37 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 3- 3 2 -3 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272291,65561123] |
[a1,a2,a3,a4,a6] |
j |
-3754462153/943296 |
j-invariant |
L |
6.6591196950191 |
L(r)(E,1)/r! |
Ω |
0.27746332066398 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17238e2 51714h2 |
Quadratic twists by: -3 13 |