Atkin-Lehner |
3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30225g |
Isogeny class |
Conductor |
30225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
377600925 = 3 · 52 · 132 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-179713,-29263782] |
[a1,a2,a3,a4,a6] |
j |
25675836541492264960/15104037 |
j-invariant |
L |
1.3912517710057 |
L(r)(E,1)/r! |
Ω |
0.23187529516756 |
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 |
90675y2 30225bi2 |
Quadratic twists by: -3 5 |