Atkin-Lehner |
2+ 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456f |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1978368 |
Modular degree for the optimal curve |
Δ |
3084665885302311936 = 210 · 320 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-568011,141454442] |
[a1,a2,a3,a4,a6] |
j |
27149789451583012/4132193454891 |
j-invariant |
L |
3.8760806341709 |
L(r)(E,1)/r! |
Ω |
0.24225509494886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64728n1 43152e1 |
Quadratic twists by: -4 -3 |