Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248ck |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
Δ |
-7.5309631552981E+24 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34594559,-106285817089] |
[a1,a2,a3,a4,a6] |
Generators |
[8447:-888096:1] |
Generators of the group modulo torsion |
j |
17466551704682106586559/28728344556038333646 |
j-invariant |
L |
5.6525042660049 |
L(r)(E,1)/r! |
Ω |
0.03908720414158 |
Real period |
R |
0.24102108732974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248g2 15312l2 |
Quadratic twists by: -4 8 |