Atkin-Lehner |
2- 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
119306w |
Isogeny class |
Conductor |
119306 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
194304 |
Modular degree for the optimal curve |
Δ |
-428692228096 = -1 · 211 · 114 · 17 · 292 |
Discriminant |
Eigenvalues |
2- -2 -3 3 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1152,34816] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1216:1] |
Generators of the group modulo torsion |
j |
-11548723153/29280256 |
j-invariant |
L |
6.6473184801664 |
L(r)(E,1)/r! |
Ω |
0.83308006676286 |
Real period |
R |
0.12089708036041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998898998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119306c1 |
Quadratic twists by: -11 |