Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
82400b |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-515000000 = -1 · 26 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 6 0 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-658,-6812] |
[a1,a2,a3,a4,a6] |
Generators |
[78:650:1] |
Generators of the group modulo torsion |
j |
-31554496/515 |
j-invariant |
L |
8.1965916565006 |
L(r)(E,1)/r! |
Ω |
0.47080074126978 |
Real period |
R |
2.1762369244868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400e1 16480b1 |
Quadratic twists by: -4 5 |