Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536do |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-77557272129404928 = -1 · 215 · 32 · 712 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-149569,25935455] |
[a1,a2,a3,a4,a6] |
Generators |
[329:3528:1] |
Generators of the group modulo torsion |
j |
-11292795168713864/2366860111371 |
j-invariant |
L |
5.8104168545124 |
L(r)(E,1)/r! |
Ω |
0.32892775326488 |
Real period |
R |
1.4720600488606 |
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 |
25536bs3 12768n4 76608fj3 |
Quadratic twists by: -4 8 -3 |