Atkin-Lehner |
2- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11660d |
Isogeny class |
Conductor |
11660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45239225900000000 = 28 · 58 · 115 · 532 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-869980,312451272] |
[a1,a2,a3,a4,a6] |
Generators |
[729:8070:1] |
Generators of the group modulo torsion |
j |
284454004568896393936/176715726171875 |
j-invariant |
L |
6.7377167228153 |
L(r)(E,1)/r! |
Ω |
0.35556867416504 |
Real period |
R |
4.73728228354 |
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 |
46640w2 104940z2 58300c2 128260g2 |
Quadratic twists by: -4 -3 5 -11 |