Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550ce |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9285117187500 = 22 · 32 · 510 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53438,4747992] |
[a1,a2,a3,a4,a6] |
Generators |
[148:220:1] |
Generators of the group modulo torsion |
j |
1080077156587801/594247500 |
j-invariant |
L |
7.9553659433941 |
L(r)(E,1)/r! |
Ω |
0.72030023655162 |
Real period |
R |
1.3805642320555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400ej4 34650o4 2310d3 80850dx4 |
Quadratic twists by: -4 -3 5 -7 |