Atkin-Lehner |
2- 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
6798m |
Isogeny class |
Conductor |
6798 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
149040 |
Modular degree for the optimal curve |
Δ |
2263201454142007038 = 2 · 323 · 11 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-757857,243341883] |
[a1,a2,a3,a4,a6] |
j |
48137723387280301310353/2263201454142007038 |
j-invariant |
L |
5.8981794185181 |
L(r)(E,1)/r! |
Ω |
0.25644258341383 |
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 |
54384k1 20394j1 74778p1 |
Quadratic twists by: -4 -3 -11 |