Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cs |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-36386603771131152 = -1 · 24 · 39 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65907,11269957] |
[a1,a2,a3,a4,a6] |
Generators |
[1334:47249:1] [-214:4049:1] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
8.614945600962 |
L(r)(E,1)/r! |
Ω |
0.33176927410814 |
Real period |
R |
1.6229173170407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bx1 106722bq1 9702bs1 |
Quadratic twists by: -3 -7 -11 |