Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
127308f |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2017152 |
Modular degree for the optimal curve |
Δ |
1824148917198167184 = 24 · 32 · 1038 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -5 -6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364242,-54312579] |
[a1,a2,a3,a4,a6] |
Generators |
[-141624:2577987:512] |
Generators of the group modulo torsion |
j |
26368/9 |
j-invariant |
L |
4.5275104764478 |
L(r)(E,1)/r! |
Ω |
0.19972027436951 |
Real period |
R |
3.7782096973401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127308e1 |
Quadratic twists by: -103 |