Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
51714a |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
1455746518850832 = 24 · 38 · 138 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31212,-1057536] |
[a1,a2,a3,a4,a6] |
j |
955671625/413712 |
j-invariant |
L |
1.4944416221543 |
L(r)(E,1)/r! |
Ω |
0.37361040574587 |
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 |
17238p1 3978g1 |
Quadratic twists by: -3 13 |