Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ci |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
4 |
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 |
[23:40:1] |
Generators of the group modulo torsion |
j |
-111980168/35775 |
j-invariant |
L |
4.4719154503422 |
L(r)(E,1)/r! |
Ω |
0.55476673951787 |
Real period |
R |
2.0152233055048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50880do1 25440bg1 |
Quadratic twists by: -4 8 |