Atkin-Lehner |
3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825l |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
512366955753515625 = 34 · 58 · 78 · 532 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2982626,1982103023] |
[a1,a2,a3,a4,a6] |
j |
187801853781525192721/32791485168225 |
j-invariant |
L |
1.138048739034 |
L(r)(E,1)/r! |
Ω |
0.28451218475866 |
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 |
83475t2 5565d2 |
Quadratic twists by: -3 5 |