Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050l |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2805664062500 = 22 · 512 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-138563,19794781] |
[a1,a2,a3,a4,a6] |
Generators |
[-2330:48861:8] |
Generators of the group modulo torsion |
j |
18829800329506921/179562500 |
j-invariant |
L |
8.8118241066327 |
L(r)(E,1)/r! |
Ω |
0.72733101486103 |
Real period |
R |
6.0576435808367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400ba1 99450s1 2210b1 |
Quadratic twists by: -4 -3 5 |