Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20240n |
Isogeny class |
Conductor |
20240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
530579456000 = 224 · 53 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10883,-435582] |
[a1,a2,a3,a4,a6] |
Generators |
[-582918:70190:9261] |
Generators of the group modulo torsion |
j |
34802436655449/129536000 |
j-invariant |
L |
4.4670754652019 |
L(r)(E,1)/r! |
Ω |
0.46753014088164 |
Real period |
R |
9.5546256264423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2530a1 80960bu1 101200br1 |
Quadratic twists by: -4 8 5 |