Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290r |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
10197847244800000 = 223 · 55 · 733 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 -3 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-169264,26402048] |
[a1,a2,a3,a4,a6] |
j |
1378638410795073/26214400000 |
j-invariant |
L |
4.0714477895882 |
L(r)(E,1)/r! |
Ω |
0.40714477913888 |
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 |
53290i1 |
Quadratic twists by: 73 |