Atkin-Lehner |
2+ 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
40936d |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-573104 = -1 · 24 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 0 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3659,-86422] |
[a1,a2,a3,a4,a6] |
Generators |
[1738:24553:8] |
Generators of the group modulo torsion |
j |
-338695670106112/35819 |
j-invariant |
L |
8.492651085765 |
L(r)(E,1)/r! |
Ω |
0.3069156705861 |
Real period |
R |
6.9177398709719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872i1 |
Quadratic twists by: -4 |