Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109u |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-344657890707507 = -1 · 315 · 134 · 292 |
Discriminant |
Eigenvalues |
2 3- 0 3 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2535,891855] |
[a1,a2,a3,a4,a6] |
j |
86528000/16553403 |
j-invariant |
L |
4.9997649020195 |
L(r)(E,1)/r! |
Ω |
0.41664707518492 |
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 |
14703l1 44109v1 |
Quadratic twists by: -3 13 |