Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142i |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-8.227579376453E+19 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -3 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11229891,14490400062] |
[a1,a2,a3,a4,a6] |
Generators |
[414240360:29328008943:64000] |
Generators of the group modulo torsion |
j |
-221441129351055153625/116326882476032 |
j-invariant |
L |
5.0093297259864 |
L(r)(E,1)/r! |
Ω |
0.18978855464112 |
Real period |
R |
13.197133345223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999889 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
52142m1 |
Quadratic twists by: 29 |