Atkin-Lehner |
2+ 5+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50350a |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
10070000000000 = 210 · 510 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -2 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6992,-163584] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:84:1] |
Generators of the group modulo torsion |
j |
3871353825/1031168 |
j-invariant |
L |
4.5318439101536 |
L(r)(E,1)/r! |
Ω |
0.5324623451863 |
Real period |
R |
4.2555534218369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50350o1 |
Quadratic twists by: 5 |