Atkin-Lehner |
2- 13+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328g |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
111965915389952 = 213 · 132 · 172 · 234 |
Discriminant |
Eigenvalues |
2- -2 -4 0 6 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31840,-2137356] |
[a1,a2,a3,a4,a6] |
Generators |
[274:3128:1] |
Generators of the group modulo torsion |
j |
871558577105761/27335428562 |
j-invariant |
L |
3.4592832521505 |
L(r)(E,1)/r! |
Ω |
0.3580874904791 |
Real period |
R |
0.60377759319452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10166b2 |
Quadratic twists by: -4 |