Atkin-Lehner |
3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72675bf |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.9471867379767E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1885505,-281251128] |
[a1,a2,a3,a4,a6] |
j |
65081717751683521/34652942555625 |
j-invariant |
L |
2.1904488849696 |
L(r)(E,1)/r! |
Ω |
0.13690305474608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24225b2 14535h2 |
Quadratic twists by: -3 5 |