Atkin-Lehner |
3- 5- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705h |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
12586000484286225 = 39 · 52 · 296 · 43 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-432688,-109452319] |
[a1,a2,a3,a4,a6] |
Generators |
[3475:199142:1] |
Generators of the group modulo torsion |
j |
8958737710663145307001/12586000484286225 |
j-invariant |
L |
8.3957303361952 |
L(r)(E,1)/r! |
Ω |
0.18616267160659 |
Real period |
R |
5.0109880686246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115j1 93525e1 |
Quadratic twists by: -3 5 |