Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ch |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-860438521774080 = -1 · 216 · 316 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17279,-1113695] |
[a1,a2,a3,a4,a6] |
j |
8705113960316/13129249905 |
j-invariant |
L |
1.0585119235924 |
L(r)(E,1)/r! |
Ω |
0.26462798073374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58560bc3 14640q4 |
Quadratic twists by: -4 8 |