Atkin-Lehner |
2+ 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34450a |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8803126087539062500 = -1 · 22 · 510 · 134 · 534 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,86083,142397241] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:11883:1] |
Generators of the group modulo torsion |
j |
4514950878012639/563400069602500 |
j-invariant |
L |
4.4926530260744 |
L(r)(E,1)/r! |
Ω |
0.17806600314728 |
Real period |
R |
3.1537835315748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890o4 |
Quadratic twists by: 5 |