Atkin-Lehner |
2- 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470bj |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-197475252480 = -1 · 28 · 37 · 5 · 113 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1247,27591] |
[a1,a2,a3,a4,a6] |
Generators |
[59:366:1] |
Generators of the group modulo torsion |
j |
-293946977449/270885120 |
j-invariant |
L |
11.747788424449 |
L(r)(E,1)/r! |
Ω |
0.91790744644207 |
Real period |
R |
0.26663428118539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17490a1 |
Quadratic twists by: -3 |