Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536dk |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
202778872494686208 = 224 · 314 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -6 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208321,29425727] |
[a1,a2,a3,a4,a6] |
j |
3814038123905521/773540010432 |
j-invariant |
L |
4.2056693463448 |
L(r)(E,1)/r! |
Ω |
0.30040495331035 |
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 |
25536k2 6384ba2 76608ff2 |
Quadratic twists by: -4 8 -3 |