Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712fg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
26802192384 = 216 · 37 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6636,-207920] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:4:1] |
Generators of the group modulo torsion |
j |
676449508/561 |
j-invariant |
L |
4.5395974259706 |
L(r)(E,1)/r! |
Ω |
0.52898649188922 |
Real period |
R |
2.1454221941117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712br1 26928o1 35904cl1 |
Quadratic twists by: -4 8 -3 |