Atkin-Lehner |
2- 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29232r |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
65464713216 = 214 · 39 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1539,-19710] |
[a1,a2,a3,a4,a6] |
j |
5000211/812 |
j-invariant |
L |
1.541236092648 |
L(r)(E,1)/r! |
Ω |
0.77061804632324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3654c1 116928cv1 29232t1 |
Quadratic twists by: -4 8 -3 |