Atkin-Lehner |
2+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52808b |
Isogeny class |
Conductor |
52808 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
70963204621456 = 24 · 75 · 235 · 41 |
Discriminant |
Eigenvalues |
2+ 0 3 7- 5 1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15511,-623373] |
[a1,a2,a3,a4,a6] |
j |
25794262963567872/4435200288841 |
j-invariant |
L |
4.3281999752717 |
L(r)(E,1)/r! |
Ω |
0.43281999741909 |
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 |
105616d1 |
Quadratic twists by: -4 |