Atkin-Lehner |
3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233s |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8864640 |
Modular degree for the optimal curve |
Δ |
-3.236520191978E+23 |
Discriminant |
Eigenvalues |
1 3- -4 -3 0 3 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16396011,-9812159276] |
[a1,a2,a3,a4,a6] |
j |
109062327671/72412707 |
j-invariant |
L |
1.3178523307252 |
L(r)(E,1)/r! |
Ω |
0.054910513751387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18411f1 55233m1 |
Quadratic twists by: -3 -19 |