Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122bb |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
125641081552896 = 216 · 38 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52484,-4583257] |
[a1,a2,a3,a4,a6] |
j |
21931543957301497/172347162624 |
j-invariant |
L |
5.0491613641222 |
L(r)(E,1)/r! |
Ω |
0.31557258525749 |
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 |
10374f1 |
Quadratic twists by: -3 |