Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60320w |
Isogeny class |
Conductor |
60320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
27862969160000 = 26 · 54 · 134 · 293 |
Discriminant |
Eigenvalues |
2- 2 5- -4 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31110,2107100] |
[a1,a2,a3,a4,a6] |
Generators |
[140:690:1] |
Generators of the group modulo torsion |
j |
52030467890156224/435358893125 |
j-invariant |
L |
8.4166574399583 |
L(r)(E,1)/r! |
Ω |
0.66886444440601 |
Real period |
R |
3.1458756367471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60320g1 120640y2 |
Quadratic twists by: -4 8 |