Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bs |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
30236262750000000 = 27 · 32 · 59 · 19 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1614763,789072281] |
[a1,a2,a3,a4,a6] |
Generators |
[635:4182:1] |
Generators of the group modulo torsion |
j |
238407579655788509/15480966528 |
j-invariant |
L |
8.1206629747532 |
L(r)(E,1)/r! |
Ω |
0.35276686595167 |
Real period |
R |
1.6442795836227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650z2 |
Quadratic twists by: 5 |