Atkin-Lehner |
2- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52142m |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
68152320 |
Modular degree for the optimal curve |
Δ |
-4.8939560884929E+28 |
Discriminant |
Eigenvalues |
2- -1 0 2 3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9444337928,353425255794057] |
[a1,a2,a3,a4,a6] |
j |
-221441129351055153625/116326882476032 |
j-invariant |
L |
1.1982568941551 |
L(r)(E,1)/r! |
Ω |
0.035242849836216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52142i1 |
Quadratic twists by: 29 |