Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800j |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7.8383153152E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6269633,-6059511137] |
[a1,a2,a3,a4,a6] |
Generators |
[164026994:4417405125:50653] |
Generators of the group modulo torsion |
j |
-6654113316148969/19136512000 |
j-invariant |
L |
4.9060139054504 |
L(r)(E,1)/r! |
Ω |
0.047696248383614 |
Real period |
R |
12.85744169777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000087837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bx2 3650j2 23360k2 |
Quadratic twists by: -4 8 5 |