Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
127308i |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
123743376 = 24 · 36 · 1032 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -3 -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-446,3441] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-9:1] [-8:81:1] |
Generators of the group modulo torsion |
j |
57930496/729 |
j-invariant |
L |
12.52472276066 |
L(r)(E,1)/r! |
Ω |
1.8650894364838 |
Real period |
R |
0.37307483360139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127308a1 |
Quadratic twists by: -103 |