Atkin-Lehner |
5+ 7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175d |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6062471578515625 = -1 · 58 · 72 · 132 · 374 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39813,4832242] |
[a1,a2,a3,a4,a6] |
Generators |
[357:-6191:1] |
Generators of the group modulo torsion |
j |
-446662075434121/387998181025 |
j-invariant |
L |
2.808867515952 |
L(r)(E,1)/r! |
Ω |
0.38879911092097 |
Real period |
R |
0.45152937567985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16835e2 |
Quadratic twists by: 5 |