Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504cz |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-251277312 = -1 · 212 · 3 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,867] |
[a1,a2,a3,a4,a6] |
Generators |
[138:559:27] |
Generators of the group modulo torsion |
j |
-360448/507 |
j-invariant |
L |
11.103426769321 |
L(r)(E,1)/r! |
Ω |
1.5777290440934 |
Real period |
R |
3.5188002693999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4719f1 75504cl1 |
Quadratic twists by: -4 -11 |