Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872i |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
441983675172086784 = 210 · 32 · 1110 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-632144,-190578276] |
[a1,a2,a3,a4,a6] |
Generators |
[-9644807823233746:-8936473978096896:23224746445291] |
Generators of the group modulo torsion |
j |
15399846504868/243640881 |
j-invariant |
L |
6.7684768510252 |
L(r)(E,1)/r! |
Ω |
0.16947745845092 |
Real period |
R |
19.968664229763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998912385 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11352k2 |
Quadratic twists by: -11 |