Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328z |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
14249984 = 212 · 72 · 71 |
Discriminant |
Eigenvalues |
2- -2 1 7- 0 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-113] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
153664/71 |
j-invariant |
L |
4.9177523694078 |
L(r)(E,1)/r! |
Ω |
1.755233796719 |
Real period |
R |
1.4008824225078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328r1 111328u1 |
Quadratic twists by: -4 -7 |