Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11011k |
Isogeny class |
Conductor |
11011 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
53764361567917 = 710 · 114 · 13 |
Discriminant |
Eigenvalues |
1 -1 -2 7- 11- 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-610326,183268771] |
[a1,a2,a3,a4,a6] |
Generators |
[226:7433:1] |
Generators of the group modulo torsion |
j |
1717274406596164537/3672178237 |
j-invariant |
L |
3.3987116759197 |
L(r)(E,1)/r! |
Ω |
0.54269987635975 |
Real period |
R |
0.20875329833726 |
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 |
99099bu1 77077x1 11011f1 |
Quadratic twists by: -3 -7 -11 |