Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248l |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[-3245:765576:125] |
Generators of the group modulo torsion |
j |
21002873311842625/10875667967208 |
j-invariant |
L |
4.0313730129225 |
L(r)(E,1)/r! |
Ω |
0.22405722642077 |
Real period |
R |
8.9963021433791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248cb2 1914m2 |
Quadratic twists by: -4 8 |