Atkin-Lehner |
2- 3- 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810dq |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
3456 |
Product of Tamagawa factors cp |
Δ |
5.982469856534E+33 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1275489706523,554439315123524171] |
[a1,a2,a3,a4,a6] |
Generators |
[5262033:-11815468760:1] |
Generators of the group modulo torsion |
j |
314794443646748303921433115102799635561/8206405838866889178408192798720 |
j-invariant |
L |
10.521676630394 |
L(r)(E,1)/r! |
Ω |
0.012485543302707 |
Real period |
R |
8.7782161523748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031229 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
39270bp7 |
Quadratic twists by: -3 |