Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82140d |
Isogeny class |
Conductor |
82140 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
-29527611063448320 = -1 · 28 · 35 · 5 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-467285,-123069855] |
[a1,a2,a3,a4,a6] |
Generators |
[32364171527142:259227140000373:39512447416] |
Generators of the group modulo torsion |
j |
-17179869184/44955 |
j-invariant |
L |
6.8845632087922 |
L(r)(E,1)/r! |
Ω |
0.091286372245989 |
Real period |
R |
18.854301686566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2220a1 |
Quadratic twists by: 37 |