Atkin-Lehner |
2- 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
126936f |
Isogeny class |
Conductor |
126936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209920 |
Modular degree for the optimal curve |
Δ |
-27503282018304 = -1 · 211 · 311 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -2 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15483,783286] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:774:1] |
Generators of the group modulo torsion |
j |
-274935976562/18421587 |
j-invariant |
L |
6.1915346777363 |
L(r)(E,1)/r! |
Ω |
0.65538233447181 |
Real period |
R |
2.3618025752549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998972917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42312e1 |
Quadratic twists by: -3 |