Atkin-Lehner |
3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83475ba |
Isogeny class |
Conductor |
83475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.5547515830994E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1871667,-4804617384] |
[a1,a2,a3,a4,a6] |
Generators |
[21715344:1489996053:4096] |
Generators of the group modulo torsion |
j |
-63659326265774569/838825927734375 |
j-invariant |
L |
8.2514791315687 |
L(r)(E,1)/r! |
Ω |
0.055274725707764 |
Real period |
R |
9.3300769748338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27825q3 16695o4 |
Quadratic twists by: -3 5 |