Atkin-Lehner |
2- 3+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
82008m |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2085888 |
Modular degree for the optimal curve |
Δ |
-9.2816099317397E+18 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 -3 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1543644,752603076] |
[a1,a2,a3,a4,a6] |
Generators |
[360:15606:1] [520:9514:1] |
Generators of the group modulo torsion |
j |
-80729804715457536/1842010303097 |
j-invariant |
L |
7.4596527263381 |
L(r)(E,1)/r! |
Ω |
0.23044796267226 |
Real period |
R |
0.57803975721733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000345 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82008c1 |
Quadratic twists by: -3 |