Atkin-Lehner |
2- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360p |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-42688000000 = -1 · 212 · 56 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- -2 0 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395,-9603] |
[a1,a2,a3,a4,a6] |
j |
1659797504/10421875 |
j-invariant |
L |
3.4240855278213 |
L(r)(E,1)/r! |
Ω |
0.570680921547 |
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 |
3335b1 |
Quadratic twists by: -4 |