Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450bh |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
105185280 |
Modular degree for the optimal curve |
Δ |
6.563980909739E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1037247586,3658177954868] |
[a1,a2,a3,a4,a6] |
j |
987326961733390791416295235661/525118472779119509291139072 |
j-invariant |
L |
3.9069284508902 |
L(r)(E,1)/r! |
Ω |
0.030522878103146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450bz1 |
Quadratic twists by: 5 |