Atkin-Lehner |
3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81585v |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-332535310526210085 = -1 · 313 · 5 · 77 · 373 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 3 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-435497,-113935314] |
[a1,a2,a3,a4,a6] |
j |
-106503164422201/3877233885 |
j-invariant |
L |
0.37089906789299 |
L(r)(E,1)/r! |
Ω |
0.092724788603919 |
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 |
27195a1 11655i1 |
Quadratic twists by: -3 -7 |