Atkin-Lehner |
2- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344bb |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
132448256 = 216 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 2 3 -4 2 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129,161] |
[a1,a2,a3,a4,a6] |
Generators |
[10:3:8] |
Generators of the group modulo torsion |
j |
3650692/2021 |
j-invariant |
L |
12.209316078275 |
L(r)(E,1)/r! |
Ω |
1.6032507925886 |
Real period |
R |
3.8076750605303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344m1 32336b1 |
Quadratic twists by: -4 8 |