Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470fz |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3688769459531520 = 28 · 38 · 5 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8503971872,-301840684590909] |
[a1,a2,a3,a4,a6] |
Generators |
[-257441799873885:128717924162127:4835382371] |
Generators of the group modulo torsion |
j |
19328649688935739391016961/1048320 |
j-invariant |
L |
13.622366962212 |
L(r)(E,1)/r! |
Ω |
0.015721504376037 |
Real period |
R |
13.538747853349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000030457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490k4 8190l3 |
Quadratic twists by: -3 13 |