Atkin-Lehner |
5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24805h |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60192 |
Modular degree for the optimal curve |
Δ |
5317172043205 = 5 · 1110 · 41 |
Discriminant |
Eigenvalues |
-2 1 5- -3 11- -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4880,-71714] |
[a1,a2,a3,a4,a6] |
j |
495616/205 |
j-invariant |
L |
0.59242733309694 |
L(r)(E,1)/r! |
Ω |
0.592427333097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124025k1 24805e1 |
Quadratic twists by: 5 -11 |