Atkin-Lehner |
2+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
112832h |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-112832 = -1 · 26 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 0 -2 -6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-17] |
[a1,a2,a3,a4,a6] |
j |
32768/1763 |
j-invariant |
L |
1.5929775100775 |
L(r)(E,1)/r! |
Ω |
1.5929778019944 |
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 |
112832s1 1763a1 |
Quadratic twists by: -4 8 |