Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400cb |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29952000000 = 214 · 32 · 56 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6833,-219537] |
[a1,a2,a3,a4,a6] |
j |
137842000/117 |
j-invariant |
L |
1.0502520263179 |
L(r)(E,1)/r! |
Ω |
0.52512601342888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400dy2 7800p2 2496d2 |
Quadratic twists by: -4 8 5 |