Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29406u |
Isogeny class |
Conductor |
29406 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-6718918128 = -1 · 24 · 3 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,81,-3927] |
[a1,a2,a3,a4,a6] |
Generators |
[1364:4895:64] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
9.3364906707409 |
L(r)(E,1)/r! |
Ω |
0.63137217746841 |
Real period |
R |
3.6969045374224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88218ba1 174d1 |
Quadratic twists by: -3 13 |