Atkin-Lehner |
3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905y |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
35820015690915225 = 310 · 52 · 74 · 112 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88425,-4395200] |
[a1,a2,a3,a4,a6] |
j |
104887600917094801/49135823993025 |
j-invariant |
L |
2.3177997952073 |
L(r)(E,1)/r! |
Ω |
0.28972497442585 |
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 |
19635m2 |
Quadratic twists by: -3 |