Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dm |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1449805713408 = 212 · 36 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4260,89984] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:416:1] |
Generators of the group modulo torsion |
j |
2863288000/485537 |
j-invariant |
L |
9.3003586346417 |
L(r)(E,1)/r! |
Ω |
0.81245296720483 |
Real period |
R |
1.4309072347561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dn1 63648c1 14144s1 |
Quadratic twists by: -4 8 -3 |