Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352j |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
49653648 = 24 · 38 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- 6 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-648,6561] |
[a1,a2,a3,a4,a6] |
Generators |
[0:81:1] |
Generators of the group modulo torsion |
j |
1883643808000/3103353 |
j-invariant |
L |
4.4227456490048 |
L(r)(E,1)/r! |
Ω |
2.005185341275 |
Real period |
R |
0.55141357234746 |
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 |
22704j1 90816bd1 34056b1 124872f1 |
Quadratic twists by: -4 8 -3 -11 |