Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752l |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61012952064 = 210 · 32 · 312 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20584,-1129796] |
[a1,a2,a3,a4,a6] |
Generators |
[-10887582:-556640:132651] |
Generators of the group modulo torsion |
j |
941963714419108/59582961 |
j-invariant |
L |
3.8187283614289 |
L(r)(E,1)/r! |
Ω |
0.39858137542263 |
Real period |
R |
9.5807997989225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123504l2 |
Quadratic twists by: -4 |