Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965s |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8031927953636931645 = -1 · 38 · 5 · 714 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,273174,-124766559] |
[a1,a2,a3,a4,a6] |
j |
19162556947522799/68270261146605 |
j-invariant |
L |
1.9010457418701 |
L(r)(E,1)/r! |
Ω |
0.11881535886688 |
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 |
41895bu5 69825p5 1995c6 |
Quadratic twists by: -3 5 -7 |