Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bz |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
525926400 |
Modular degree for the optimal curve |
Δ |
1.0256220171467E+33 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25931189638,457272244358531] |
[a1,a2,a3,a4,a6] |
Generators |
[-163891:17547327:1] |
Generators of the group modulo torsion |
j |
987326961733390791416295235661/525118472779119509291139072 |
j-invariant |
L |
7.2561745340341 |
L(r)(E,1)/r! |
Ω |
0.013650246061515 |
Real period |
R |
2.2149095626929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450bh1 |
Quadratic twists by: 5 |