Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
176c |
Isogeny class |
Conductor |
176 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-340736 = -1 · 28 · 113 |
Discriminant |
Eigenvalues |
2- -1 -3 -2 11- -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,289] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:22:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
1.0693142864076 |
L(r)(E,1)/r! |
Ω |
3.0540697209359 |
Real period |
R |
0.058354610084011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44a2 704f2 1584o2 4400s2 |
Quadratic twists by: -4 8 -3 5 |