Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195r |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21168 |
Modular degree for the optimal curve |
Δ |
28795180995 = 33 · 5 · 78 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -5 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,6563] |
[a1,a2,a3,a4,a6] |
j |
14338681/4995 |
j-invariant |
L |
3.2519228062251 |
L(r)(E,1)/r! |
Ω |
1.0839742687417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81585j1 27195e1 |
Quadratic twists by: -3 -7 |