Atkin-Lehner |
2+ 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970d |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2338537500000 = 25 · 33 · 58 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20484,-1120912] |
[a1,a2,a3,a4,a6] |
j |
35205958712661723/86612500000 |
j-invariant |
L |
3.1930010571581 |
L(r)(E,1)/r! |
Ω |
0.3991251321299 |
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 |
47970x2 |
Quadratic twists by: -3 |