Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13858a |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1291459454509366792 = -1 · 23 · 1314 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,195079,-43518955] |
[a1,a2,a3,a4,a6] |
Generators |
[3493193973247550:-196847298418509913:1141166125000] |
Generators of the group modulo torsion |
j |
170095924504143/267559676488 |
j-invariant |
L |
3.8191825016478 |
L(r)(E,1)/r! |
Ω |
0.14351931246561 |
Real period |
R |
26.610930863838 |
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 |
110864e3 124722bu3 1066e4 |
Quadratic twists by: -4 -3 13 |