Atkin-Lehner |
3+ 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6555b |
Isogeny class |
Conductor |
6555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
7374375 = 33 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62928,-6102243] |
[a1,a2,a3,a4,a6] |
j |
27559179456258880009/7374375 |
j-invariant |
L |
0.60286166611287 |
L(r)(E,1)/r! |
Ω |
0.30143083305643 |
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 |
104880cp4 19665u3 32775u4 124545be4 |
Quadratic twists by: -4 -3 5 -19 |