Atkin-Lehner |
3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27825k |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5321720687171E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3899626,-3512042977] |
[a1,a2,a3,a4,a6] |
j |
-419732306584032209041/98059012397893575 |
j-invariant |
L |
3.8203209502411 |
L(r)(E,1)/r! |
Ω |
0.053060013197805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475u5 5565c6 |
Quadratic twists by: -3 5 |