Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fq |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
799680 |
Modular degree for the optimal curve |
Δ |
-44670335034955014 = -1 · 2 · 37 · 78 · 116 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54473,11298543] |
[a1,a2,a3,a4,a6] |
j |
-2401/6 |
j-invariant |
L |
1.9092833647145 |
L(r)(E,1)/r! |
Ω |
0.31821402959517 |
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 |
35574d1 106722gm1 882c1 |
Quadratic twists by: -3 -7 -11 |