Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89700bc |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
40597552856250000 = 24 · 35 · 58 · 133 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4327458,-3466382787] |
[a1,a2,a3,a4,a6] |
Generators |
[-1203:63:1] |
Generators of the group modulo torsion |
j |
1433977641048037120/6495608457 |
j-invariant |
L |
5.4241192178752 |
L(r)(E,1)/r! |
Ω |
0.10467463350175 |
Real period |
R |
3.4545900560919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89700e2 |
Quadratic twists by: 5 |