Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550k |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7470703125000 = 23 · 32 · 514 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163526,-25465552] |
[a1,a2,a3,a4,a6] |
j |
30949975477232209/478125000 |
j-invariant |
L |
1.8992999594092 |
L(r)(E,1)/r! |
Ω |
0.23741249492615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20400ca3 81600o4 7650cf3 510d3 |
Quadratic twists by: -4 8 -3 5 |