Atkin-Lehner |
2- 3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cl |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
24004157832000 = 26 · 32 · 53 · 192 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13458,-558369] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:-157:1] |
Generators of the group modulo torsion |
j |
2156538857728373/192033262656 |
j-invariant |
L |
6.333935935426 |
L(r)(E,1)/r! |
Ω |
0.4457770835881 |
Real period |
R |
0.29601566212648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350bs2 |
Quadratic twists by: 5 |