Atkin-Lehner |
2+ 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782l |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2402400 |
Modular degree for the optimal curve |
Δ |
-1.0596735525295E+19 |
Discriminant |
Eigenvalues |
2+ 0 3 7- -2 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12804983,17640568413] |
[a1,a2,a3,a4,a6] |
Generators |
[3576050874:137130304931:970299] |
Generators of the group modulo torsion |
j |
-822016149299951193/37513854976 |
j-invariant |
L |
5.3907885258512 |
L(r)(E,1)/r! |
Ω |
0.21469756037922 |
Real period |
R |
12.554377693742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782b1 |
Quadratic twists by: -7 |