Atkin-Lehner |
2- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29264g |
Isogeny class |
Conductor |
29264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-108739922231296 = -1 · 220 · 313 · 592 |
Discriminant |
Eigenvalues |
2- -2 -2 0 4 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4896,-482444] |
[a1,a2,a3,a4,a6] |
Generators |
[396:7982:1] |
Generators of the group modulo torsion |
j |
3168102940703/26547832576 |
j-invariant |
L |
3.186580785547 |
L(r)(E,1)/r! |
Ω |
0.29450741872196 |
Real period |
R |
5.4100178518006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3658c1 117056l1 |
Quadratic twists by: -4 8 |