Atkin-Lehner |
2+ 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120j |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-7475256000 = -1 · 26 · 32 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-325,-4625] |
[a1,a2,a3,a4,a6] |
j |
-59501707264/116800875 |
j-invariant |
L |
3.1710018271307 |
L(r)(E,1)/r! |
Ω |
0.52850030456234 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45120dd2 705c2 |
Quadratic twists by: -4 8 |