Atkin-Lehner |
2+ 3+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
6798b |
Isogeny class |
Conductor |
6798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
13725202788 = 22 · 35 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6669,206793] |
[a1,a2,a3,a4,a6] |
Generators |
[44:9:1] |
Generators of the group modulo torsion |
j |
32810104420811353/13725202788 |
j-invariant |
L |
3.1895979946583 |
L(r)(E,1)/r! |
Ω |
1.2348983620198 |
Real period |
R |
2.5828830070205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54384y1 20394y1 74778ba1 |
Quadratic twists by: -4 -3 -11 |