Atkin-Lehner |
3- 5- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128325y |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
355332581382375 = 34 · 53 · 296 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -4 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129981,-18025067] |
[a1,a2,a3,a4,a6] |
j |
1942891363173396797/2842660651059 |
j-invariant |
L |
4.0233526964955 |
L(r)(E,1)/r! |
Ω |
0.25145955752197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128325m2 |
Quadratic twists by: 5 |