Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
64400bs |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112330416128000000 = 219 · 56 · 72 · 234 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-242208,-42873088] |
[a1,a2,a3,a4,a6] |
Generators |
[-551824:-3148608:2197] |
Generators of the group modulo torsion |
j |
24553362849625/1755162752 |
j-invariant |
L |
8.8724014550053 |
L(r)(E,1)/r! |
Ω |
0.21617501937752 |
Real period |
R |
5.1303346015964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8050p2 2576n2 |
Quadratic twists by: -4 5 |