Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
82908f |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13109434184448 = 28 · 33 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258279,-50521842] |
[a1,a2,a3,a4,a6] |
j |
6831324432/47 |
j-invariant |
L |
0.84710538149351 |
L(r)(E,1)/r! |
Ω |
0.21177635048744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82908b2 82908c2 |
Quadratic twists by: -3 -7 |