Atkin-Lehner |
2+ 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
64416c |
Isogeny class |
Conductor |
64416 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1667519540932608 = 212 · 35 · 112 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161777,-25021953] |
[a1,a2,a3,a4,a6] |
j |
114318569512514368/407109262923 |
j-invariant |
L |
4.7620410794054 |
L(r)(E,1)/r! |
Ω |
0.23810205437928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64416d3 128832a1 |
Quadratic twists by: -4 8 |