Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76176k |
Isogeny class |
Conductor |
76176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-21008644643304432 = -1 · 24 · 36 · 239 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 6 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36501,-6436343] |
[a1,a2,a3,a4,a6] |
Generators |
[231555442615918512:1369440199416026039:1766426976505387] |
Generators of the group modulo torsion |
j |
256 |
j-invariant |
L |
9.4789753072017 |
L(r)(E,1)/r! |
Ω |
0.19437570281255 |
Real period |
R |
24.383128060874 |
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 |
38088f1 8464e1 76176w1 |
Quadratic twists by: -4 -3 -23 |