Atkin-Lehner |
2+ 3- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150ba |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1568578176000 = 210 · 33 · 53 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6541,193928] |
[a1,a2,a3,a4,a6] |
Generators |
[28:167:1] |
Generators of the group modulo torsion |
j |
247543028075069/12548625408 |
j-invariant |
L |
4.4887938024152 |
L(r)(E,1)/r! |
Ω |
0.83493115418902 |
Real period |
R |
0.89604070545067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150bt1 |
Quadratic twists by: 5 |