Atkin-Lehner |
2+ 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128064bn |
Isogeny class |
Conductor |
128064 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6848663952738484224 = -1 · 224 · 37 · 235 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 -1 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,111039,125139231] |
[a1,a2,a3,a4,a6] |
Generators |
[507:17664:1] [-183:9936:1] |
Generators of the group modulo torsion |
j |
577572497126639/26125579653696 |
j-invariant |
L |
12.057520296615 |
L(r)(E,1)/r! |
Ω |
0.17939292895978 |
Real period |
R |
0.48009219453949 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128064cd1 4002i1 |
Quadratic twists by: -4 8 |