Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cb |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2850991103595773952 = 221 · 318 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-367873,-27979009] |
[a1,a2,a3,a4,a6] |
j |
21002873311842625/10875667967208 |
j-invariant |
L |
3.6918935587977 |
L(r)(E,1)/r! |
Ω |
0.2051051979412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248l2 15312p2 |
Quadratic twists by: -4 8 |