Atkin-Lehner |
2+ 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832k |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16960 |
Modular degree for the optimal curve |
Δ |
-112832 = -1 · 26 · 41 · 43 |
Discriminant |
Eigenvalues |
2+ -1 2 0 6 0 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377,2947] |
[a1,a2,a3,a4,a6] |
j |
-92836605952/1763 |
j-invariant |
L |
3.0651643173457 |
L(r)(E,1)/r! |
Ω |
3.0651642296706 |
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 |
112832bn1 1763d1 |
Quadratic twists by: -4 8 |