Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506bo |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-9611083961810496 = -1 · 26 · 36 · 118 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23653,4506129] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:1705:1] |
Generators of the group modulo torsion |
j |
6827155247/44836416 |
j-invariant |
L |
8.9854050858844 |
L(r)(E,1)/r! |
Ω |
0.29679902098929 |
Real period |
R |
1.2614323232287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67518y1 22506t1 |
Quadratic twists by: -3 -11 |