Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fo |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
44236800 |
Modular degree for the optimal curve |
Δ |
-1.6732751358597E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-122455088,557415963281] |
[a1,a2,a3,a4,a6] |
Generators |
[4725:-292763:1] |
Generators of the group modulo torsion |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
8.199172159968 |
L(r)(E,1)/r! |
Ω |
0.068026478087217 |
Real period |
R |
1.5066141226865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999411429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bc1 11550k1 |
Quadratic twists by: 5 -11 |