Atkin-Lehner |
2- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
55550q |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
68400 |
Modular degree for the optimal curve |
Δ |
86796875000 = 23 · 510 · 11 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1263,-9983] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:65:1] |
Generators of the group modulo torsion |
j |
22816825/8888 |
j-invariant |
L |
7.5890959995661 |
L(r)(E,1)/r! |
Ω |
0.82786356338747 |
Real period |
R |
3.0556951390925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55550j1 |
Quadratic twists by: 5 |