Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450m |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8.7742258461914E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98857692,404301483216] |
[a1,a2,a3,a4,a6] |
j |
-9380102000370554601721/770302406250000000 |
j-invariant |
L |
0.57433059518915 |
L(r)(E,1)/r! |
Ω |
0.071791292102363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bx2 19890x2 |
Quadratic twists by: -3 5 |