Atkin-Lehner |
2- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
9440f |
Isogeny class |
Conductor |
9440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
-755200 = -1 · 29 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 0 5- -1 3 -1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-827,-9154] |
[a1,a2,a3,a4,a6] |
j |
-122171605128/1475 |
j-invariant |
L |
1.7805446072922 |
L(r)(E,1)/r! |
Ω |
0.44513615182305 |
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 |
9440e1 18880h1 84960g1 47200g1 |
Quadratic twists by: -4 8 -3 5 |