Atkin-Lehner |
2- 5- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bz |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
-2458969744000 = -1 · 27 · 53 · 74 · 112 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2122,65572] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-330:1] |
Generators of the group modulo torsion |
j |
8453509524811/19671757952 |
j-invariant |
L |
8.0730780096006 |
L(r)(E,1)/r! |
Ω |
0.56726273281248 |
Real period |
R |
0.25413639718788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88550x2 |
Quadratic twists by: 5 |