Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bm |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
129442208239872 = 28 · 33 · 117 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20754,-1014012] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:414:1] |
Generators of the group modulo torsion |
j |
558051585337/73066752 |
j-invariant |
L |
9.0156357657157 |
L(r)(E,1)/r! |
Ω |
0.40119914592608 |
Real period |
R |
0.93632175953677 |
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 |
67518w1 2046e1 |
Quadratic twists by: -3 -11 |