Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ck |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-862608101056708608 = -1 · 218 · 39 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-451596,-125063696] |
[a1,a2,a3,a4,a6] |
j |
-53297461115137/4513839183 |
j-invariant |
L |
2.9324774235215 |
L(r)(E,1)/r! |
Ω |
0.091639935728645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928dw1 1827b1 38976x1 |
Quadratic twists by: -4 8 -3 |