Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200hj |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-820800 = -1 · 26 · 33 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[29:156:1] |
Generators of the group modulo torsion |
j |
-1572160/513 |
j-invariant |
L |
8.3968841741534 |
L(r)(E,1)/r! |
Ω |
1.0177641308062 |
Real period |
R |
2.7501081099122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200fq1 45600ba1 91200go1 |
Quadratic twists by: -4 8 5 |