Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600f |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
37000000000000 = 212 · 512 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 1 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17133,-806363] |
[a1,a2,a3,a4,a6] |
j |
8690991616/578125 |
j-invariant |
L |
1.6761405064421 |
L(r)(E,1)/r! |
Ω |
0.41903512661072 |
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 |
29600c1 59200ca1 5920l1 |
Quadratic twists by: -4 8 5 |