Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905z |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2527243089563115 = -1 · 310 · 5 · 7 · 114 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57330,5825155] |
[a1,a2,a3,a4,a6] |
j |
-28585531411426081/3466725774435 |
j-invariant |
L |
3.5512451970843 |
L(r)(E,1)/r! |
Ω |
0.44390564896649 |
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 |
19635n4 |
Quadratic twists by: -3 |