Atkin-Lehner |
2+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142i |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1.5305416702862E+24 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -3 -4 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8975134,58616558260] |
[a1,a2,a3,a4,a6] |
Generators |
[5230814498151665875962840:495688176102302589616882217:925593719035271616000] |
Generators of the group modulo torsion |
j |
113045847534239336375/2163979620951523328 |
j-invariant |
L |
5.0093297259864 |
L(r)(E,1)/r! |
Ω |
0.063262851547039 |
Real period |
R |
39.591400035625 |
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 |
52142m2 |
Quadratic twists by: 29 |