Atkin-Lehner |
5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24805f |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
58080 |
Modular degree for the optimal curve |
Δ |
27464731628125 = 55 · 118 · 41 |
Discriminant |
Eigenvalues |
0 1 5- 3 11- -3 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51465,-4503944] |
[a1,a2,a3,a4,a6] |
j |
70327730176/128125 |
j-invariant |
L |
1.5850332933881 |
L(r)(E,1)/r! |
Ω |
0.31700665867765 |
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 |
124025h1 24805b1 |
Quadratic twists by: 5 -11 |