Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400bf |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
Δ |
3435319654560000000 = 211 · 314 · 57 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1226408,514687188] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:24300:1] |
Generators of the group modulo torsion |
j |
6374982726455618/107353739205 |
j-invariant |
L |
6.3331946516649 |
L(r)(E,1)/r! |
Ω |
0.25094069990984 |
Real period |
R |
0.22533762292363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001054 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40200a2 16080a2 |
Quadratic twists by: -4 5 |