Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600a |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1254970340000000000 = 211 · 510 · 137 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2378675,1411023250] |
[a1,a2,a3,a4,a6] |
Generators |
[285:27500:1] |
Generators of the group modulo torsion |
j |
9636491538/8125 |
j-invariant |
L |
5.4403593606834 |
L(r)(E,1)/r! |
Ω |
0.27060493442301 |
Real period |
R |
2.5130543960499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000601 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33800a4 13520h3 5200e3 |
Quadratic twists by: -4 5 13 |