Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280cn |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
299912232960000 = 218 · 310 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97932,-11766544] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:160:1] |
Generators of the group modulo torsion |
j |
543538277281/1569375 |
j-invariant |
L |
5.2002420796873 |
L(r)(E,1)/r! |
Ω |
0.2699254124851 |
Real period |
R |
1.204092372142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280gb4 1395a3 29760f4 |
Quadratic twists by: -4 8 -3 |