Atkin-Lehner |
2+ 3+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125856b |
Isogeny class |
Conductor |
125856 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4033197227814912 = 212 · 33 · 194 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2083020,-1157142272] |
[a1,a2,a3,a4,a6] |
Generators |
[-834:52:1] |
Generators of the group modulo torsion |
j |
9038166122839608000/36469158961 |
j-invariant |
L |
3.1822672587286 |
L(r)(E,1)/r! |
Ω |
0.12566846196768 |
Real period |
R |
3.1653400375567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998294703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125856d2 125856w2 |
Quadratic twists by: -4 -3 |