Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550ce |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-210130377187500 = -1 · 22 · 38 · 57 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13562,342992] |
[a1,a2,a3,a4,a6] |
Generators |
[32:884:1] |
Generators of the group modulo torsion |
j |
17655210697319/13448344140 |
j-invariant |
L |
7.9553659433941 |
L(r)(E,1)/r! |
Ω |
0.36015011827581 |
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 |
92400ej3 34650o3 2310d4 80850dx3 |
Quadratic twists by: -4 -3 5 -7 |