Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832c |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
8824881152 = 216 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ -2 0 4 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179553,-29344385] |
[a1,a2,a3,a4,a6] |
j |
9768417154118500/134657 |
j-invariant |
L |
1.8554153962276 |
L(r)(E,1)/r! |
Ω |
0.2319269341255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832t1 12104a1 |
Quadratic twists by: -4 8 |