Atkin-Lehner |
3- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425k |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6732905952744140625 = 312 · 510 · 172 · 672 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-172985626,-875730110977] |
[a1,a2,a3,a4,a6] |
j |
36638166765697694609677201/430905980975625 |
j-invariant |
L |
4.4959431199194 |
L(r)(E,1)/r! |
Ω |
0.041629102793227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17085b3 |
Quadratic twists by: 5 |