Atkin-Lehner |
2- 3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22620f |
Isogeny class |
Conductor |
22620 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-574701454080 = -1 · 28 · 35 · 5 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,395,-36217] |
[a1,a2,a3,a4,a6] |
j |
26556760064/2244927555 |
j-invariant |
L |
4.3728724736108 |
L(r)(E,1)/r! |
Ω |
0.43728724736108 |
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 |
90480ba1 67860k1 113100f1 |
Quadratic twists by: -4 -3 5 |