Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cp |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5912248320000000 = 220 · 38 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1880033,991560063] |
[a1,a2,a3,a4,a6] |
Generators |
[-557:43200:1] |
Generators of the group modulo torsion |
j |
179415687049201/1443420 |
j-invariant |
L |
7.6162474022095 |
L(r)(E,1)/r! |
Ω |
0.38245676909981 |
Real period |
R |
1.244625539659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ea4 1650a4 10560e4 |
Quadratic twists by: -4 8 5 |