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 |
-5338323375000000000 = -1 · 29 · 3 · 512 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40838,-111225469] |
[a1,a2,a3,a4,a6] |
Generators |
[665:12167:1] |
Generators of the group modulo torsion |
j |
-482056280171929/341652696000000 |
j-invariant |
L |
5.8926416455078 |
L(r)(E,1)/r! |
Ω |
0.10875098503149 |
Real period |
R |
1.5051311039215 |
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 |
92400gy4 34650l4 2310i4 80850gr4 |
Quadratic twists by: -4 -3 5 -7 |