Atkin-Lehner |
7- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
44737b |
Isogeny class |
Conductor |
44737 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-1572641595217 = -1 · 76 · 115 · 83 |
Discriminant |
Eigenvalues |
-1 0 0 7- 11+ -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5620,174416] |
[a1,a2,a3,a4,a6] |
j |
-166829162625/13367233 |
j-invariant |
L |
0.82891344928964 |
L(r)(E,1)/r! |
Ω |
0.82891344913373 |
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 |
913a1 |
Quadratic twists by: -7 |