Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hk |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
2.2892103350036E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-167933600,414337086708] |
[a1,a2,a3,a4,a6] |
Generators |
[853804:37168734:343] |
Generators of the group modulo torsion |
j |
3168795413730153943/1384979642449920 |
j-invariant |
L |
9.3712954413981 |
L(r)(E,1)/r! |
Ω |
0.050283520399469 |
Real period |
R |
11.648069902698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170br1 129360dx1 |
Quadratic twists by: -4 -7 |