Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bm |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
486237075014656 = 210 · 710 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 5 -2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99241,-11953423] |
[a1,a2,a3,a4,a6] |
Generators |
[-8049440:6870739:42875] |
Generators of the group modulo torsion |
j |
373698304/1681 |
j-invariant |
L |
5.3113326700523 |
L(r)(E,1)/r! |
Ω |
0.26905679028251 |
Real period |
R |
9.8702816823126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576cs1 8036e1 128576c1 |
Quadratic twists by: -4 8 -7 |