Atkin-Lehner |
3- 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44289m |
Isogeny class |
Conductor |
44289 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-21912938108019 = -1 · 314 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
2 3- 3 7- 5 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-20991,-1192041] |
[a1,a2,a3,a4,a6] |
j |
-1403122438033408/30058900011 |
j-invariant |
L |
9.5071797184269 |
L(r)(E,1)/r! |
Ω |
0.19806624413597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14763i1 |
Quadratic twists by: -3 |