Atkin-Lehner |
2- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858i |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-112441954044082 = -1 · 2 · 138 · 413 |
Discriminant |
Eigenvalues |
2- -2 0 -1 6 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20368,-1231374] |
[a1,a2,a3,a4,a6] |
j |
-1145574625/137842 |
j-invariant |
L |
2.3817320220465 |
L(r)(E,1)/r! |
Ω |
0.19847766850387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864g2 124722p2 13858c2 |
Quadratic twists by: -4 -3 13 |