Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cl |
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] |
j |
964430272/127449 |
j-invariant |
L |
2.610743792124 |
L(r)(E,1)/r! |
Ω |
0.65268594913769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544bl2 34272bm1 22848bh2 |
Quadratic twists by: -4 8 -3 |