Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bs |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
1654239059200 = 28 · 52 · 76 · 133 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4900,-116620] |
[a1,a2,a3,a4,a6] |
Generators |
[-10794:12691:216] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
12.959508245767 |
L(r)(E,1)/r! |
Ω |
0.57539745214939 |
Real period |
R |
5.6306767348893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044167 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400ba1 2600k1 |
Quadratic twists by: 5 -7 |