Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325r |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-2358984375 = -1 · 32 · 58 · 11 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,224,-1927] |
[a1,a2,a3,a4,a6] |
Generators |
[777:4162:27] |
Generators of the group modulo torsion |
j |
80062991/150975 |
j-invariant |
L |
8.8959969826063 |
L(r)(E,1)/r! |
Ω |
0.76026673945036 |
Real period |
R |
5.8505761997848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065b1 |
Quadratic twists by: 5 |