Atkin-Lehner |
3- 5+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615o |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1894745078441786025 = 38 · 52 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152944155,728065157400] |
[a1,a2,a3,a4,a6] |
j |
542743759475382443770799281/2599101616518225 |
j-invariant |
L |
2.8494418517757 |
L(r)(E,1)/r! |
Ω |
0.17809011616751 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23205o6 |
Quadratic twists by: -3 |