Atkin-Lehner |
2- 3- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
52470bc |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1.9153449103378E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-364883,671331827] |
[a1,a2,a3,a4,a6] |
Generators |
[627:-26558:1] |
Generators of the group modulo torsion |
j |
-7369804336481746921/262735927344000000 |
j-invariant |
L |
8.5753051941508 |
L(r)(E,1)/r! |
Ω |
0.14929522252057 |
Real period |
R |
1.4359644349879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490o2 |
Quadratic twists by: -3 |