Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714k |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2153471181732 = 22 · 38 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3834,-57056] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:190:1] |
Generators of the group modulo torsion |
j |
1771561/612 |
j-invariant |
L |
3.0718210191157 |
L(r)(E,1)/r! |
Ω |
0.62381367162418 |
Real period |
R |
1.2310651236162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238j1 306d1 |
Quadratic twists by: -3 13 |