Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184j |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-99223128576 = -1 · 29 · 36 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,-23546] |
[a1,a2,a3,a4,a6] |
j |
-649461896/265837 |
j-invariant |
L |
1.5591247386002 |
L(r)(E,1)/r! |
Ω |
0.38978118466179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41184bg1 82368cm1 4576f1 |
Quadratic twists by: -4 8 -3 |