Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450dg |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
-1.0024880630822E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,24828633,7276364541] |
[a1,a2,a3,a4,a6] |
j |
3355354844375/1987172352 |
j-invariant |
L |
0.21399247327829 |
L(r)(E,1)/r! |
Ω |
0.053498118307506 |
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 |
18150di1 54450fs1 4950bp1 |
Quadratic twists by: -3 5 -11 |