Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456bm |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-2684399616 = -1 · 212 · 36 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -3 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,3440] |
[a1,a2,a3,a4,a6] |
j |
-1404928/899 |
j-invariant |
L |
1.3293214549829 |
L(r)(E,1)/r! |
Ω |
1.3293221785158 |
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 |
8091d1 14384i1 |
Quadratic twists by: -4 -3 |