Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248bt |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0179267976893E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1698273,700569729] |
[a1,a2,a3,a4,a6] |
Generators |
[1549:42240:1] |
Generators of the group modulo torsion |
j |
2066362734323877625/388308257175168 |
j-invariant |
L |
4.6805606083551 |
L(r)(E,1)/r! |
Ω |
0.17951359780243 |
Real period |
R |
2.1727976161506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248o2 15312s2 |
Quadratic twists by: -4 8 |