Atkin-Lehner |
2- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111320y |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-10186475750000 = -1 · 24 · 56 · 116 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- 2 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22627,-1319021] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3025:1] |
Generators of the group modulo torsion |
j |
-45198971136/359375 |
j-invariant |
L |
4.3816745013405 |
L(r)(E,1)/r! |
Ω |
0.19453899428828 |
Real period |
R |
0.93847390529005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
920b1 |
Quadratic twists by: -11 |