Atkin-Lehner |
2+ 3+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128a |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-602251966900224 = -1 · 211 · 35 · 295 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -1 4 -4 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17944,727632] |
[a1,a2,a3,a4,a6] |
Generators |
[19170:332202:125] |
Generators of the group modulo torsion |
j |
311980420110382/294068343213 |
j-invariant |
L |
5.4479579434134 |
L(r)(E,1)/r! |
Ω |
0.33759567765131 |
Real period |
R |
8.068761396141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064d1 |
Quadratic twists by: -4 |