Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474bo |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
858681420012 = 22 · 33 · 132 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22811,-1319585] |
[a1,a2,a3,a4,a6] |
j |
1033364331/676 |
j-invariant |
L |
1.5539677651032 |
L(r)(E,1)/r! |
Ω |
0.38849194117061 |
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 |
84474i2 234c2 |
Quadratic twists by: -3 -19 |