Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536ck |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10352537911296 = 214 · 36 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5937,85905] |
[a1,a2,a3,a4,a6] |
j |
1412791482832/631868769 |
j-invariant |
L |
2.5969448352688 |
L(r)(E,1)/r! |
Ω |
0.64923620881725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25536z2 6384m2 76608fq2 |
Quadratic twists by: -4 8 -3 |