Atkin-Lehner |
5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
96815d |
Isogeny class |
Conductor |
96815 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
128582421875 = 58 · 173 · 67 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6296,-192035] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:39:1] [838:3967:8] |
Generators of the group modulo torsion |
j |
5617918276433/26171875 |
j-invariant |
L |
4.8402230778414 |
L(r)(E,1)/r! |
Ω |
0.53611106208068 |
Real period |
R |
9.0283962042237 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998139 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96815k2 |
Quadratic twists by: 17 |