Atkin-Lehner |
2- 3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856o |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
148608 |
Modular degree for the optimal curve |
Δ |
-12478685983488 = -1 · 28 · 36 · 292 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 3 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6149,249615] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-258:1] [-77:522:1] |
Generators of the group modulo torsion |
j |
-100454142902272/48744867123 |
j-invariant |
L |
9.7673251287062 |
L(r)(E,1)/r! |
Ω |
0.66371442488717 |
Real period |
R |
0.20439105791245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14964a1 |
Quadratic twists by: -4 |