Atkin-Lehner |
2+ 3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99864f |
Isogeny class |
Conductor |
99864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6122260786176 = 210 · 310 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 2 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,-110050] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4050:1] |
Generators of the group modulo torsion |
j |
26282902468/8201331 |
j-invariant |
L |
7.9421466824143 |
L(r)(E,1)/r! |
Ω |
0.56491003620582 |
Real period |
R |
3.5147838473164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288j2 |
Quadratic twists by: -3 |