Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cm |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
805778591200247808 = 216 · 35 · 116 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40151712,97914005748] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
j-invariant |
L |
4.3732288256692 |
L(r)(E,1)/r! |
Ω |
0.2186614431627 |
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 |
9438u3 624i3 |
Quadratic twists by: -4 -11 |