Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
29406g |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-91599925248 = -1 · 212 · 33 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3349246,-2359499920] |
[a1,a2,a3,a4,a6] |
Generators |
[2149:18125:1] |
Generators of the group modulo torsion |
j |
-145475968977975351625/3207168 |
j-invariant |
L |
5.2839633325566 |
L(r)(E,1)/r! |
Ω |
0.05579982189128 |
Real period |
R |
5.2608325354035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88218bt2 29406y2 |
Quadratic twists by: -3 13 |