Atkin-Lehner |
2+ 3- 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24882t |
Isogeny class |
Conductor |
24882 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-468850704894 = -1 · 2 · 33 · 116 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11- 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182,32942] |
[a1,a2,a3,a4,a6] |
j |
-661459323097/468850704894 |
j-invariant |
L |
3.0255998996867 |
L(r)(E,1)/r! |
Ω |
0.7563999749217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74646bq1 |
Quadratic twists by: -3 |