Atkin-Lehner |
2+ 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726f |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
3636186139014048 = 25 · 323 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 1 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39132,688432] |
[a1,a2,a3,a4,a6] |
j |
9090725854002625/4987909655712 |
j-invariant |
L |
1.5426017231703 |
L(r)(E,1)/r! |
Ω |
0.38565043079256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7242i1 |
Quadratic twists by: -3 |