Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714a |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4283254180464948 = 22 · 310 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-426672,-107119908] |
[a1,a2,a3,a4,a6] |
j |
2441288319625/1217268 |
j-invariant |
L |
1.4944416221543 |
L(r)(E,1)/r! |
Ω |
0.18680520287293 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238p2 3978g2 |
Quadratic twists by: -3 13 |