Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450k |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9024000 |
Modular degree for the optimal curve |
Δ |
4.7622573323522E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 1 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13788992,16682044416] |
[a1,a2,a3,a4,a6] |
Generators |
[1344:23328:1] |
Generators of the group modulo torsion |
j |
6234597/1024 |
j-invariant |
L |
4.9400369818674 |
L(r)(E,1)/r! |
Ω |
0.10813535973213 |
Real period |
R |
3.8069855391379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bh1 110450l1 |
Quadratic twists by: 5 -47 |