Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bs |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5287170410156250 = 2 · 32 · 518 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192938,32350781] |
[a1,a2,a3,a4,a6] |
Generators |
[3502:43511:8] |
Generators of the group modulo torsion |
j |
50834334659676121/338378906250 |
j-invariant |
L |
6.3236392943923 |
L(r)(E,1)/r! |
Ω |
0.4321468767235 |
Real period |
R |
7.3165393932009 |
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 |
92400gs3 34650bn3 2310k4 80850gh3 |
Quadratic twists by: -4 -3 5 -7 |