Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722fe |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-874809406969344 = -1 · 29 · 39 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1429,1422523] |
[a1,a2,a3,a4,a6] |
j |
189/512 |
j-invariant |
L |
7.0567472996036 |
L(r)(E,1)/r! |
Ω |
0.39204152680773 |
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 |
106722bf1 106722ej2 882b2 |
Quadratic twists by: -3 -7 -11 |