Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880do |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-1172275200 = -1 · 215 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-321,2655] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:24:1] [-3:60:1] |
Generators of the group modulo torsion |
j |
-111980168/35775 |
j-invariant |
L |
10.276167767386 |
L(r)(E,1)/r! |
Ω |
1.4566857633971 |
Real period |
R |
0.29393687213356 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880ci1 25440y1 |
Quadratic twists by: -4 8 |