Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200bp |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1704343896000 = -1 · 26 · 33 · 53 · 534 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9318,348768] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:636:1] [57:78:1] |
Generators of the group modulo torsion |
j |
-11185320964544/213042987 |
j-invariant |
L |
14.764278909363 |
L(r)(E,1)/r! |
Ω |
0.84067511053962 |
Real period |
R |
1.4635339630336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200s1 127200cn1 |
Quadratic twists by: -4 5 |