Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464k |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-469875935232 = -1 · 211 · 38 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,37582] |
[a1,a2,a3,a4,a6] |
j |
-162365474/314721 |
j-invariant |
L |
3.3342696135017 |
L(r)(E,1)/r! |
Ω |
0.83356740337544 |
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 |
26928o2 107712br2 4488g2 |
Quadratic twists by: -4 8 -3 |