Atkin-Lehner |
2- 3- 5+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950da |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-6932812500 = -1 · 22 · 32 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1088,14292] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:154:1] |
Generators of the group modulo torsion |
j |
-9116230969/443700 |
j-invariant |
L |
11.962384707938 |
L(r)(E,1)/r! |
Ω |
1.3147133272203 |
Real period |
R |
1.1373567587637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14790a1 |
Quadratic twists by: 5 |