Atkin-Lehner |
2- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29216f |
Isogeny class |
Conductor |
29216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15744 |
Modular degree for the optimal curve |
Δ |
-310390784 = -1 · 212 · 11 · 832 |
Discriminant |
Eigenvalues |
2- -1 -1 2 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6781,-212683] |
[a1,a2,a3,a4,a6] |
j |
-8419940867584/75779 |
j-invariant |
L |
1.0522054397665 |
L(r)(E,1)/r! |
Ω |
0.26305135994193 |
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 |
29216a1 58432a1 |
Quadratic twists by: -4 8 |