Atkin-Lehner |
5+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
73255g |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-16282577481625 = -1 · 53 · 77 · 13 · 233 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 6 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4370,224825] |
[a1,a2,a3,a4,a6] |
Generators |
[128:1259:1] |
Generators of the group modulo torsion |
j |
-78457720041/138399625 |
j-invariant |
L |
6.5283702794965 |
L(r)(E,1)/r! |
Ω |
0.62218056129798 |
Real period |
R |
2.6231815517648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465d1 |
Quadratic twists by: -7 |