Atkin-Lehner |
3- 5+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41055j |
Isogeny class |
Conductor |
41055 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
8.8400356471539E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-139812464,-447512042089] |
[a1,a2,a3,a4,a6] |
j |
302246566848963914792764432249/88400356471538543701171875 |
j-invariant |
L |
1.4364661297533 |
L(r)(E,1)/r! |
Ω |
0.044889566555365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123165r3 |
Quadratic twists by: -3 |