Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54900k |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2.9910072439828E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2367300,-1128299875] |
[a1,a2,a3,a4,a6] |
Generators |
[-65766085:-530693750:117649] |
Generators of the group modulo torsion |
j |
8050374229540864/1641156238125 |
j-invariant |
L |
5.7629848853313 |
L(r)(E,1)/r! |
Ω |
0.12345482797003 |
Real period |
R |
11.67022987285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18300b1 10980f1 |
Quadratic twists by: -3 5 |