Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23322l |
Isogeny class |
Conductor |
23322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15320291766 = 2 · 3 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 6 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5327,147311] |
[a1,a2,a3,a4,a6] |
j |
3463512697/3174 |
j-invariant |
L |
4.9461066313398 |
L(r)(E,1)/r! |
Ω |
1.2365266578349 |
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 |
69966r2 138a2 |
Quadratic twists by: -3 13 |