Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hn |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7.0936741645136E+25 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-536545967,4800906978585] |
[a1,a2,a3,a4,a6] |
Generators |
[-13723788130:6185364200283:2197000] |
Generators of the group modulo torsion |
j |
-112427521449300721/466873642818 |
j-invariant |
L |
9.0233798007135 |
L(r)(E,1)/r! |
Ω |
0.061865856003422 |
Real period |
R |
18.231744478472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999689063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574q4 2178m4 9702t4 |
Quadratic twists by: -3 -7 -11 |