Atkin-Lehner |
2+ 3- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128064y |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
3457728 = 26 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-892,9962] |
[a1,a2,a3,a4,a6] |
j |
1227792814912/54027 |
j-invariant |
L |
2.3549181314329 |
L(r)(E,1)/r! |
Ω |
2.3549190495208 |
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 |
128064q1 64032c4 |
Quadratic twists by: -4 8 |