Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bd |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14570330156250 = 2 · 3 · 57 · 11 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44876,3650648] |
[a1,a2,a3,a4,a6] |
Generators |
[128:24:1] |
Generators of the group modulo torsion |
j |
639634959791281/932501130 |
j-invariant |
L |
5.6471429332801 |
L(r)(E,1)/r! |
Ω |
0.7015720292846 |
Real period |
R |
4.0246351746493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530r4 |
Quadratic twists by: 5 |