Atkin-Lehner |
2- 3- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770bg |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-71999949060 = -1 · 22 · 34 · 5 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1040,260] |
[a1,a2,a3,a4,a6] |
j |
124393483618559/71999949060 |
j-invariant |
L |
5.2330408234648 |
L(r)(E,1)/r! |
Ω |
0.6541301029331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50310p3 83850b3 |
Quadratic twists by: -3 5 |