Atkin-Lehner |
5- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73255m |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2784768 |
Modular degree for the optimal curve |
Δ |
1455974172039220925 = 52 · 79 · 137 · 23 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 5 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2919730,1918418681] |
[a1,a2,a3,a4,a6] |
Generators |
[6996120:330228343:13824] |
Generators of the group modulo torsion |
j |
68213381239410688/36080397275 |
j-invariant |
L |
10.072956519936 |
L(r)(E,1)/r! |
Ω |
0.26565988474254 |
Real period |
R |
9.4791847537383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73255i1 |
Quadratic twists by: -7 |