Atkin-Lehner |
11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
12221b |
Isogeny class |
Conductor |
12221 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-352166186580240131 = -1 · 1113 · 1012 |
Discriminant |
Eigenvalues |
0 -3 -3 0 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1053184,-416989323] |
[a1,a2,a3,a4,a6] |
j |
-72925658468057088/198788631371 |
j-invariant |
L |
0.29801119476294 |
L(r)(E,1)/r! |
Ω |
0.074502798690735 |
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 |
109989n1 1111b1 |
Quadratic twists by: -3 -11 |