Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ex |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3666432 |
Modular degree for the optimal curve |
Δ |
-5.6520106502808E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,941599,-84822405] |
[a1,a2,a3,a4,a6] |
j |
3267/2 |
j-invariant |
L |
0.45949347438098 |
L(r)(E,1)/r! |
Ω |
0.11487326078615 |
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 |
106722t1 106722es1 106722ba1 |
Quadratic twists by: -3 -7 -11 |