Atkin-Lehner |
3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
4005d |
Isogeny class |
Conductor |
4005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
131384025 = 310 · 52 · 89 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1337,19136] |
[a1,a2,a3,a4,a6] |
j |
362314607689/180225 |
j-invariant |
L |
1.8238778866673 |
L(r)(E,1)/r! |
Ω |
1.8238778866673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080bk1 1335a1 20025m1 |
Quadratic twists by: -4 -3 5 |