Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655w |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
447722334685538055 = 310 · 5 · 11 · 1310 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-494357,-129730714] |
[a1,a2,a3,a4,a6] |
Generators |
[-441:1759:1] |
Generators of the group modulo torsion |
j |
3797146126801/127239255 |
j-invariant |
L |
2.6958132981999 |
L(r)(E,1)/r! |
Ω |
0.18041878648565 |
Real period |
R |
3.7354941667864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885r4 6435j3 |
Quadratic twists by: -3 13 |