Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550y |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22558593750000 = 24 · 3 · 514 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-493126,133244648] |
[a1,a2,a3,a4,a6] |
Generators |
[408:-113:1] |
Generators of the group modulo torsion |
j |
848742840525560401/1443750000 |
j-invariant |
L |
4.3668147746392 |
L(r)(E,1)/r! |
Ω |
0.57897546986025 |
Real period |
R |
3.7711569850215 |
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 |
92400du4 34650dn4 2310n4 80850l4 |
Quadratic twists by: -4 -3 5 -7 |