Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bt |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3782285936100000000 = 28 · 38 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1547175,-734791750] |
[a1,a2,a3,a4,a6] |
Generators |
[-18915:62000:27] |
Generators of the group modulo torsion |
j |
1193895376/11025 |
j-invariant |
L |
6.5606743091776 |
L(r)(E,1)/r! |
Ω |
0.13544305559379 |
Real period |
R |
6.0548271331885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007755 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400cn2 17640cp2 12600r2 |
Quadratic twists by: -3 5 -7 |