Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bj |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1482377400000000 = -1 · 29 · 32 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22720,1293972] |
[a1,a2,a3,a4,a6] |
j |
21531355768/24609375 |
j-invariant |
L |
2.5471156703149 |
L(r)(E,1)/r! |
Ω |
0.31838945878936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520bw2 47040fu3 70560u2 117600cp2 |
Quadratic twists by: -4 8 -3 5 |