Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54450da |
Isogeny class |
Conductor |
54450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22471680 |
Modular degree for the optimal curve |
Δ |
3.4995946929414E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-449430867,3555214527541] |
[a1,a2,a3,a4,a6] |
j |
32893747448573/1146617856 |
j-invariant |
L |
0.64248988669824 |
L(r)(E,1)/r! |
Ω |
0.053540823910914 |
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 |
18150cf1 54450gt1 54450gs1 |
Quadratic twists by: -3 5 -11 |