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 |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-8951204677734375 = -1 · 3 · 510 · 78 · 53 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,31749,-3994727] |
[a1,a2,a3,a4,a6] |
j |
226523624554079/572877099375 |
j-invariant |
L |
3.8203209502411 |
L(r)(E,1)/r! |
Ω |
0.21224005279122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83475u1 5565c1 |
Quadratic twists by: -3 5 |