Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722en |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
228324096 |
Modular degree for the optimal curve |
Δ |
-5.4987726469574E+28 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11+ 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4373557607,-111896094855905] |
[a1,a2,a3,a4,a6] |
Generators |
[215491:94508462:1] |
Generators of the group modulo torsion |
j |
-705703720113/4194304 |
j-invariant |
L |
6.6288188060059 |
L(r)(E,1)/r! |
Ω |
0.0092791149227043 |
Real period |
R |
8.1179602894086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722n1 106722eb1 106722o1 |
Quadratic twists by: -3 -7 -11 |