Atkin-Lehner |
2- 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714t |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
11686409554108068 = 22 · 36 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-142499,-20004929] |
[a1,a2,a3,a4,a6] |
j |
90942871473/3321188 |
j-invariant |
L |
2.9553062567195 |
L(r)(E,1)/r! |
Ω |
0.24627552146961 |
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 |
5746a1 3978e1 |
Quadratic twists by: -3 13 |