Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232bj |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-74814826147557552 = -1 · 24 · 39 · 710 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17700,13128631] |
[a1,a2,a3,a4,a6] |
j |
52577024000000/6414165479043 |
j-invariant |
L |
2.6486565559138 |
L(r)(E,1)/r! |
Ω |
0.26486565559137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7308a1 116928em1 9744t1 |
Quadratic twists by: -4 8 -3 |