Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34800f |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-189648864000000 = -1 · 211 · 35 · 56 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 2 -4 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148008,-21877488] |
[a1,a2,a3,a4,a6] |
Generators |
[2816:147932:1] |
Generators of the group modulo torsion |
j |
-11205525764162/5926527 |
j-invariant |
L |
3.3130549995723 |
L(r)(E,1)/r! |
Ω |
0.12169822384133 |
Real period |
R |
6.8058819902985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17400j1 104400bq1 1392e1 |
Quadratic twists by: -4 -3 5 |