Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bl |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
9450359424 = 27 · 39 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16255,796313] |
[a1,a2,a3,a4,a6] |
Generators |
[68:47:1] |
Generators of the group modulo torsion |
j |
3925553794409401/78102144 |
j-invariant |
L |
8.90926322402 |
L(r)(E,1)/r! |
Ω |
1.1932987676607 |
Real period |
R |
0.11850919518585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518v1 22506q1 |
Quadratic twists by: -3 -11 |