Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800dg |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
170069856000000000 = 214 · 3 · 59 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-155633,-12889137] |
[a1,a2,a3,a4,a6] |
Generators |
[1938:83475:1] |
Generators of the group modulo torsion |
j |
1628514404944/664335375 |
j-invariant |
L |
9.0595671644496 |
L(r)(E,1)/r! |
Ω |
0.24909833421976 |
Real period |
R |
6.0615734965813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800ep4 3300c4 10560n4 |
Quadratic twists by: -4 8 5 |