Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13416d |
Isogeny class |
Conductor |
13416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-443733019392 = -1 · 28 · 3 · 132 · 434 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7996,279748] |
[a1,a2,a3,a4,a6] |
j |
-220880011370704/1733332107 |
j-invariant |
L |
3.7783558093809 |
L(r)(E,1)/r! |
Ω |
0.94458895234522 |
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 |
26832i2 107328bk2 40248h2 |
Quadratic twists by: -4 8 -3 |