Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99705o |
Isogeny class |
Conductor |
99705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
46505981759352165 = 34 · 5 · 177 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159679,-22273399] |
[a1,a2,a3,a4,a6] |
Generators |
[1801:73481:1] |
Generators of the group modulo torsion |
j |
18653901818761/1926705285 |
j-invariant |
L |
8.5380467644114 |
L(r)(E,1)/r! |
Ω |
0.24042239770874 |
Real period |
R |
4.4390866161388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5865b3 |
Quadratic twists by: 17 |