Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232y |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-12729249792 = -1 · 212 · 37 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,5434] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-72:1] |
Generators of the group modulo torsion |
j |
-15625/4263 |
j-invariant |
L |
4.7016641732805 |
L(r)(E,1)/r! |
Ω |
1.028365360947 |
Real period |
R |
0.57149729461801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1827c1 116928dq1 9744p1 |
Quadratic twists by: -4 8 -3 |