Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200el |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7884800000000 = 218 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16426700,-25625574000] |
[a1,a2,a3,a4,a6] |
Generators |
[-408743393760:83732700:174676879] |
Generators of the group modulo torsion |
j |
119678115308998401/1925 |
j-invariant |
L |
3.7952588555506 |
L(r)(E,1)/r! |
Ω |
0.074991488377077 |
Real period |
R |
12.652298741169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999995614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bl4 30800z4 24640bo4 |
Quadratic twists by: -4 8 5 |