Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128576cg |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
680067776332693504 = 223 · 711 · 41 |
Discriminant |
Eigenvalues |
2- 1 1 7- 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-548865,151216127] |
[a1,a2,a3,a4,a6] |
Generators |
[-16053:441784:27] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
9.4351752340341 |
L(r)(E,1)/r! |
Ω |
0.2845865382179 |
Real period |
R |
4.1442469435759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576r1 32144s1 18368x1 |
Quadratic twists by: -4 8 -7 |