Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655u |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
294360509326455 = 38 · 5 · 11 · 138 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-444924,-114114987] |
[a1,a2,a3,a4,a6] |
Generators |
[955554:62303695:216] |
Generators of the group modulo torsion |
j |
2768178670921/83655 |
j-invariant |
L |
6.0737702449137 |
L(r)(E,1)/r! |
Ω |
0.1848539938612 |
Real period |
R |
8.2142805269346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885s2 6435k2 |
Quadratic twists by: -3 13 |