Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520m |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7928121600 = 28 · 32 · 52 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1076,-12540] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] |
Generators of the group modulo torsion |
j |
538671647824/30969225 |
j-invariant |
L |
5.1916323510832 |
L(r)(E,1)/r! |
Ω |
0.83650524993212 |
Real period |
R |
1.5515839116102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999898 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89040q2 |
Quadratic twists by: -4 |