Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184a |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
273640992768 = 212 · 33 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2220,-31424] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:52:1] |
Generators of the group modulo torsion |
j |
10941048000/2474329 |
j-invariant |
L |
6.5518502625568 |
L(r)(E,1)/r! |
Ω |
0.70679652801745 |
Real period |
R |
1.1587228436408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184e2 82368dd1 41184u2 |
Quadratic twists by: -4 8 -3 |