Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466bj |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4042098783882432 = -1 · 26 · 33 · 712 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,36520,-1472229] |
[a1,a2,a3,a4,a6] |
Generators |
[107:1857:1] |
Generators of the group modulo torsion |
j |
1695802078125/1272491584 |
j-invariant |
L |
6.8791817398281 |
L(r)(E,1)/r! |
Ω |
0.24587867335368 |
Real period |
R |
1.1657480032054 |
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 |
91728ch2 11466b4 1638m2 |
Quadratic twists by: -4 -3 -7 |