Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544bl |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
380560674816 = 212 · 38 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2964,54560] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:340:1] |
Generators of the group modulo torsion |
j |
964430272/127449 |
j-invariant |
L |
8.0029777189322 |
L(r)(E,1)/r! |
Ω |
0.91659589564573 |
Real period |
R |
2.1827988095505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993935 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544cl2 34272n1 22848b2 |
Quadratic twists by: -4 8 -3 |