Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13858c |
Isogeny class |
Conductor |
13858 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-23295298 = -1 · 2 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ -2 0 1 -6 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121,-570] |
[a1,a2,a3,a4,a6] |
Generators |
[24:90:1] [26:105:1] |
Generators of the group modulo torsion |
j |
-1145574625/137842 |
j-invariant |
L |
3.6876042281264 |
L(r)(E,1)/r! |
Ω |
0.71562141082526 |
Real period |
R |
1.7176699729508 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110864o2 124722bk2 13858i2 |
Quadratic twists by: -4 -3 13 |