Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bs |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1921941504 = 215 · 32 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2502529,-1522926911] |
[a1,a2,a3,a4,a6] |
j |
52894596367017490184/58653 |
j-invariant |
L |
0.48013653262081 |
L(r)(E,1)/r! |
Ω |
0.12003413315521 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536do4 12768z2 76608dv4 |
Quadratic twists by: -4 8 -3 |