Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400bl |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
82184325300000000 = 28 · 36 · 58 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ -3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168833,-22806963] |
[a1,a2,a3,a4,a6] |
Generators |
[-1814:15525:8] |
Generators of the group modulo torsion |
j |
5322287088640/821843253 |
j-invariant |
L |
4.7989955443162 |
L(r)(E,1)/r! |
Ω |
0.23797004783863 |
Real period |
R |
3.3610641298156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200dc1 92400bt1 |
Quadratic twists by: -4 5 |