Atkin-Lehner |
2+ 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682f |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-27822353526 = -1 · 2 · 311 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 11- -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1089,16267] |
[a1,a2,a3,a4,a6] |
Generators |
[17:41:1] |
Generators of the group modulo torsion |
j |
-196021690129/38165094 |
j-invariant |
L |
4.0118004205802 |
L(r)(E,1)/r! |
Ω |
1.13528552897 |
Real period |
R |
0.58895615804831 |
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 |
93456bg1 3894j1 128502bq1 |
Quadratic twists by: -4 -3 -11 |