Atkin-Lehner |
2+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344m |
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] |
j |
3650692/2021 |
j-invariant |
L |
3.0328740612238 |
L(r)(E,1)/r! |
Ω |
1.5164365825192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344bb1 16168d1 |
Quadratic twists by: -4 8 |