Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ez |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
50803200 |
Modular degree for the optimal curve |
Δ |
-1.0152458042631E+26 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1447720616,-21207102493013] |
[a1,a2,a3,a4,a6] |
j |
-34068278205171/10307264 |
j-invariant |
L |
2.3495876927043 |
L(r)(E,1)/r! |
Ω |
0.012237437510792 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722w1 106722ef1 9702f1 |
Quadratic twists by: -3 -7 -11 |