Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bl |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1304392410000000000 = 210 · 310 · 510 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300675,-31743250] |
[a1,a2,a3,a4,a6] |
Generators |
[12211:1347984:1] |
Generators of the group modulo torsion |
j |
257731890916/111830625 |
j-invariant |
L |
6.1891007323445 |
L(r)(E,1)/r! |
Ω |
0.21210145108513 |
Real period |
R |
7.2949768782667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010168 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28200a2 16920h2 |
Quadratic twists by: -3 5 |