Atkin-Lehner |
2- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24200bd |
Isogeny class |
Conductor |
24200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
55361281250000 = 24 · 59 · 116 |
Discriminant |
Eigenvalues |
2- 2 5- -2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10083,157412] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
2.2339218196113 |
L(r)(E,1)/r! |
Ω |
0.55848045490282 |
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 |
48400bc1 24200q1 200d1 |
Quadratic twists by: -4 5 -11 |