Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6498n |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-342310370648067072 = -1 · 210 · 39 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 2 3 2 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34724,28267975] |
[a1,a2,a3,a4,a6] |
j |
-13851/1024 |
j-invariant |
L |
5.0086263749459 |
L(r)(E,1)/r! |
Ω |
0.2504313187473 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984bh1 6498c1 6498e1 |
Quadratic twists by: -4 -3 -19 |