Atkin-Lehner |
3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44109o |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-2.1324276134594E+20 |
Discriminant |
Eigenvalues |
0 3- -2 5 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9596496,-11463949845] |
[a1,a2,a3,a4,a6] |
j |
-972524879872/2121843 |
j-invariant |
L |
1.5437860571523 |
L(r)(E,1)/r! |
Ω |
0.042882946025569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14703e1 44109n1 |
Quadratic twists by: -3 13 |