Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ee |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
16475637537651600 = 24 · 310 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69467,3412091] |
[a1,a2,a3,a4,a6] |
j |
432252699481/192099600 |
j-invariant |
L |
5.623528427103 |
L(r)(E,1)/r! |
Ω |
0.35147052669779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170t2 6930bb2 |
Quadratic twists by: -3 -7 |