Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96480i |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3376028160 = 29 · 39 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-868323,311436902] |
[a1,a2,a3,a4,a6] |
Generators |
[58148:1056517:64] |
Generators of the group modulo torsion |
j |
193985887870344968/9045 |
j-invariant |
L |
6.8566867406757 |
L(r)(E,1)/r! |
Ω |
0.76408127388929 |
Real period |
R |
8.9737662423679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480e4 32160s4 |
Quadratic twists by: -4 -3 |