Atkin-Lehner |
2- 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
6798n |
Isogeny class |
Conductor |
6798 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-1766429854531584 = -1 · 232 · 3 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13277,-2107215] |
[a1,a2,a3,a4,a6] |
j |
-258836561772597073/1766429854531584 |
j-invariant |
L |
4.7424404884844 |
L(r)(E,1)/r! |
Ω |
0.19760168702018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54384l1 20394k1 74778q1 |
Quadratic twists by: -4 -3 -11 |