Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92565bb |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6350813916744515625 = 38 · 56 · 118 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-558135,-105013584] |
[a1,a2,a3,a4,a6] |
Generators |
[-161442382:-2781594309:636056] |
Generators of the group modulo torsion |
j |
14888751553801/4917515625 |
j-invariant |
L |
5.7332474552376 |
L(r)(E,1)/r! |
Ω |
0.17928887317821 |
Real period |
R |
7.994427302891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30855s2 8415k2 |
Quadratic twists by: -3 -11 |