Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600bo |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
73567731924000000 = 28 · 311 · 56 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -1 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-221700,38000500] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:7974:1] |
Generators of the group modulo torsion |
j |
413269421056/25228989 |
j-invariant |
L |
6.132664204553 |
L(r)(E,1)/r! |
Ω |
0.33943534007666 |
Real period |
R |
4.5168132801316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200m1 3384e1 |
Quadratic twists by: -3 5 |