Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
27825q |
Isogeny class |
Conductor |
27825 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
24497140869140625 = 36 · 512 · 72 · 532 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-386838,92267667] |
[a1,a2,a3,a4,a6] |
j |
409723754843086489/1567817015625 |
j-invariant |
L |
2.2802341447237 |
L(r)(E,1)/r! |
Ω |
0.38003902412064 |
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 |
83475ba2 5565a2 |
Quadratic twists by: -3 5 |