Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725c |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-39032900419921875 = -1 · 33 · 510 · 236 |
Discriminant |
Eigenvalues |
0 3+ 5+ 1 -6 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-157083,-25727182] |
[a1,a2,a3,a4,a6] |
j |
-43894892953600/3996969003 |
j-invariant |
L |
0.71571734099781 |
L(r)(E,1)/r! |
Ω |
0.11928622349963 |
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 |
27600cl2 110400dv2 5175a2 1725q2 |
Quadratic twists by: -4 8 -3 5 |