Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bl |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
70735781250000 = 24 · 39 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29109450,-60450390875] |
[a1,a2,a3,a4,a6] |
Generators |
[11689949150051670:-387122212601194675:1733622086197] |
Generators of the group modulo torsion |
j |
14967807005098080256/388125 |
j-invariant |
L |
6.7668085173965 |
L(r)(E,1)/r! |
Ω |
0.064996662199675 |
Real period |
R |
26.02752313885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800bh1 13800n1 8280i1 |
Quadratic twists by: -4 -3 5 |