Atkin-Lehner |
2+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
126736c |
Isogeny class |
Conductor |
126736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
45292886933021696 = 210 · 897 |
Discriminant |
Eigenvalues |
2+ -2 2 -4 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256112,48740260] |
[a1,a2,a3,a4,a6] |
Generators |
[11718:1267360:1] |
Generators of the group modulo torsion |
j |
3650692/89 |
j-invariant |
L |
3.9043592801769 |
L(r)(E,1)/r! |
Ω |
0.35867496120796 |
Real period |
R |
2.7213770837295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63368a1 1424a1 |
Quadratic twists by: -4 89 |