Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11172k |
Isogeny class |
Conductor |
11172 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
302074834505472 = 28 · 34 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21380,872376] |
[a1,a2,a3,a4,a6] |
j |
104627248/29241 |
j-invariant |
L |
1.0167511687325 |
L(r)(E,1)/r! |
Ω |
0.50837558436626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688da2 33516y2 11172r2 |
Quadratic twists by: -4 -3 -7 |