Atkin-Lehner |
3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565u |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10243584 |
Modular degree for the optimal curve |
Δ |
1.8877124404907E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64453230,199180990575] |
[a1,a2,a3,a4,a6] |
j |
30517727539306343882651/194549560546875 |
j-invariant |
L |
2.5604768090716 |
L(r)(E,1)/r! |
Ω |
0.16002980542015 |
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 |
30855o1 92565w1 |
Quadratic twists by: -3 -11 |