Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400d |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.88900999168E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2549633,-1701647137] |
[a1,a2,a3,a4,a6] |
Generators |
[172191695721:-22889934104500:9663597] |
Generators of the group modulo torsion |
j |
-77626969/8000 |
j-invariant |
L |
8.1020036060237 |
L(r)(E,1)/r! |
Ω |
0.059391525542016 |
Real period |
R |
17.052103671533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gg2 2450s2 15680bg2 78400by2 |
Quadratic twists by: -4 8 5 -7 |