Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600ce |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-149866362000000000 = -1 · 210 · 313 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,115125,10993750] |
[a1,a2,a3,a4,a6] |
Generators |
[2675:139500:1] |
Generators of the group modulo torsion |
j |
115737772/102789 |
j-invariant |
L |
5.7759443877436 |
L(r)(E,1)/r! |
Ω |
0.21194366523832 |
Real period |
R |
3.406532805894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28200n1 84600w1 |
Quadratic twists by: -3 5 |