Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
570f |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-80912056320 = -1 · 218 · 32 · 5 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,202,-13624] |
[a1,a2,a3,a4,a6] |
j |
918046641959/80912056320 |
j-invariant |
L |
1.543923095703 |
L(r)(E,1)/r! |
Ω |
0.514641031901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560r3 18240c3 1710o3 2850r3 |
Quadratic twists by: -4 8 -3 5 |