Atkin-Lehner |
3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105225k |
Isogeny class |
Conductor |
105225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
25569675 = 36 · 52 · 23 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 -6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-243,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:9:1] [-66:45:8] |
Generators of the group modulo torsion |
j |
63491300185/1022787 |
j-invariant |
L |
7.919572250114 |
L(r)(E,1)/r! |
Ω |
1.2103550616965 |
Real period |
R |
1.090530167902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105225h1 |
Quadratic twists by: 5 |