Atkin-Lehner |
5+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29725a |
Isogeny class |
Conductor |
29725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-761703125 = -1 · 56 · 29 · 412 |
Discriminant |
Eigenvalues |
-1 1 5+ 0 1 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-788,-8683] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/48749 |
j-invariant |
L |
0.90032973202337 |
L(r)(E,1)/r! |
Ω |
0.45016486601216 |
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 |
1189a1 |
Quadratic twists by: 5 |