Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965s |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1173548775 = 3 · 52 · 77 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2606801,-1620198294] |
[a1,a2,a3,a4,a6] |
j |
16651720753282540801/9975 |
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 |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bu4 69825p4 1995c4 |
Quadratic twists by: -3 5 -7 |