Atkin-Lehner |
3- 5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47175h |
Isogeny class |
Conductor |
47175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17137591737890625 = 34 · 58 · 172 · 374 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-969751,-367595227] |
[a1,a2,a3,a4,a6] |
j |
6454814273433732961/1096805871225 |
j-invariant |
L |
0.60855378646383 |
L(r)(E,1)/r! |
Ω |
0.15213844656605 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9435e3 |
Quadratic twists by: 5 |