Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
570f |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1218375000 = 23 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1103,13898] |
[a1,a2,a3,a4,a6] |
j |
148212258825961/1218375000 |
j-invariant |
L |
1.543923095703 |
L(r)(E,1)/r! |
Ω |
1.543923095703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4560r2 18240c2 1710o2 2850r2 |
Quadratic twists by: -4 8 -3 5 |