Atkin-Lehner |
2+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81344c |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-57296650435035136 = -1 · 240 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 -6 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25791,-11397089] |
[a1,a2,a3,a4,a6] |
Generators |
[205:1596:1] |
Generators of the group modulo torsion |
j |
7237215346607/218569375744 |
j-invariant |
L |
1.7827383130075 |
L(r)(E,1)/r! |
Ω |
0.17004496096784 |
Real period |
R |
5.2419616099121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344i1 2542a1 |
Quadratic twists by: -4 8 |