Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327p |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
396824589 = 37 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3- -3 7- -2 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-824,9254] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-5:1] [12:-38:1] |
Generators of the group modulo torsion |
j |
160261033/1029 |
j-invariant |
L |
4.8736415094796 |
L(r)(E,1)/r! |
Ω |
1.6957337738622 |
Real period |
R |
0.23950504419784 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109h1 33327j1 |
Quadratic twists by: -3 -23 |