Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104bk |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
194332852224 = 218 · 32 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,-50209] |
[a1,a2,a3,a4,a6] |
Generators |
[301:5148:1] |
Generators of the group modulo torsion |
j |
8205738913/741321 |
j-invariant |
L |
6.812531740898 |
L(r)(E,1)/r! |
Ω |
0.66679144170914 |
Real period |
R |
5.1084426964357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55104bt2 861a2 |
Quadratic twists by: -4 8 |