Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550bo |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
17385984000000000 = 218 · 32 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-232838,-42873469] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:647:1] |
Generators of the group modulo torsion |
j |
89343998142858649/1112702976000 |
j-invariant |
L |
5.8926416455078 |
L(r)(E,1)/r! |
Ω |
0.21750197006298 |
Real period |
R |
0.75256555196073 |
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 |
92400gy3 34650l3 2310i3 80850gr3 |
Quadratic twists by: -4 -3 5 -7 |