Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550y |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-1430176869587812500 = -1 · 22 · 38 · 57 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,221374,-41253352] |
[a1,a2,a3,a4,a6] |
Generators |
[192:2791:1] |
Generators of the group modulo torsion |
j |
76786760064334319/91531319653620 |
j-invariant |
L |
4.3668147746392 |
L(r)(E,1)/r! |
Ω |
0.14474386746506 |
Real period |
R |
0.47139462312769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92400du5 34650dn5 2310n6 80850l5 |
Quadratic twists by: -4 -3 5 -7 |