Atkin-Lehner |
2- 3+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650bs |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-29145696000000000 = -1 · 214 · 3 · 59 · 192 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94763,13872281] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:4438:1] |
Generators of the group modulo torsion |
j |
-48184833531869/14922596352 |
j-invariant |
L |
8.1206629747532 |
L(r)(E,1)/r! |
Ω |
0.35276686595167 |
Real period |
R |
0.82213979181137 |
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 |
82650z1 |
Quadratic twists by: 5 |