Atkin-Lehner |
2- 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150ct |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
863156250000 = 24 · 34 · 59 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2388,-4608] |
[a1,a2,a3,a4,a6] |
j |
771095213/441936 |
j-invariant |
L |
5.927461153891 |
L(r)(E,1)/r! |
Ω |
0.740932644383 |
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 |
51150p1 |
Quadratic twists by: 5 |