Atkin-Lehner |
2+ 3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47328k |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
65880576 = 29 · 32 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152,-660] |
[a1,a2,a3,a4,a6] |
j |
763551944/128673 |
j-invariant |
L |
1.374528356549 |
L(r)(E,1)/r! |
Ω |
1.3745283571124 |
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 |
47328b2 94656bf2 |
Quadratic twists by: -4 8 |