Atkin-Lehner |
2+ 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650f |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
59923778676750 = 2 · 37 · 53 · 194 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 6 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117730,-15592850] |
[a1,a2,a3,a4,a6] |
j |
1443713092910573597/479390229414 |
j-invariant |
L |
2.0619394750015 |
L(r)(E,1)/r! |
Ω |
0.25774244422873 |
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 |
82650cu2 |
Quadratic twists by: 5 |