Atkin-Lehner |
2+ 3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
29088a |
Isogeny class |
Conductor |
29088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-3053541888 = -1 · 29 · 310 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 -4 4 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,-3274] |
[a1,a2,a3,a4,a6] |
j |
-7301384/8181 |
j-invariant |
L |
2.2149352718332 |
L(r)(E,1)/r! |
Ω |
0.55373381795899 |
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 |
29088j1 58176bf1 9696f1 |
Quadratic twists by: -4 8 -3 |