Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16575531614208 = 215 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10380,356816] |
[a1,a2,a3,a4,a6] |
Generators |
[10:504:1] |
Generators of the group modulo torsion |
j |
5177717000/693889 |
j-invariant |
L |
4.8711101484579 |
L(r)(E,1)/r! |
Ω |
0.66893481511154 |
Real period |
R |
0.45511816303177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544du2 34272s2 7616l2 |
Quadratic twists by: -4 8 -3 |