Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050m |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
294195200000000 = 218 · 58 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55688,-4995008] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:280:1] |
Generators of the group modulo torsion |
j |
1222331589867961/18828492800 |
j-invariant |
L |
4.7840340852492 |
L(r)(E,1)/r! |
Ω |
0.31107453948621 |
Real period |
R |
0.85439223615571 |
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 |
88400z1 99450p1 2210a1 |
Quadratic twists by: -4 -3 5 |