Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722go |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-1594678991298624 = -1 · 26 · 36 · 710 · 112 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- -1 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22133,-2296115] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1220:1] |
Generators of the group modulo torsion |
j |
-115538049/153664 |
j-invariant |
L |
9.3792860567353 |
L(r)(E,1)/r! |
Ω |
0.1865214231009 |
Real period |
R |
2.0952209045464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858h1 15246bq1 106722cz1 |
Quadratic twists by: -3 -7 -11 |