Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800cs |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-514035851264000000 = -1 · 219 · 56 · 137 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340300,83834000] |
[a1,a2,a3,a4,a6] |
j |
-1064019559329/125497034 |
j-invariant |
L |
5.1344367842669 |
L(r)(E,1)/r! |
Ω |
0.28524648801483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20800r2 5200bc2 832j2 |
Quadratic twists by: -4 8 5 |