Atkin-Lehner |
2+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
82400g |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2575000000 = -1 · 26 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 2 -3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1458,21088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:100:1] [8:100:1] |
Generators of the group modulo torsion |
j |
-13720000/103 |
j-invariant |
L |
8.0670162721346 |
L(r)(E,1)/r! |
Ω |
1.4508882229738 |
Real period |
R |
0.92667559823667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400o1 82400l1 |
Quadratic twists by: -4 5 |