Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
11352p |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
18861771270672 = 24 · 36 · 11 · 435 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 11- 0 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7028,85821] |
[a1,a2,a3,a4,a6] |
Generators |
[10:129:1] |
Generators of the group modulo torsion |
j |
2399721162016000/1178860704417 |
j-invariant |
L |
5.0687419432292 |
L(r)(E,1)/r! |
Ω |
0.61038546268944 |
Real period |
R |
0.13840275948731 |
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 |
22704a1 90816b1 34056g1 124872l1 |
Quadratic twists by: -4 8 -3 -11 |