Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172u |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
-1003834146680064 = -1 · 28 · 35 · 73 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6932,-1542780] |
[a1,a2,a3,a4,a6] |
Generators |
[268:3990:1] |
Generators of the group modulo torsion |
j |
-419592713776/11432149083 |
j-invariant |
L |
6.0291863041666 |
L(r)(E,1)/r! |
Ω |
0.21422460050987 |
Real period |
R |
0.62542732044537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688bz2 33516x2 11172g2 |
Quadratic twists by: -4 -3 -7 |