Atkin-Lehner |
2- 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850co |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-63767925000000 = -1 · 26 · 33 · 58 · 133 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2763,388017] |
[a1,a2,a3,a4,a6] |
j |
-5971949905/163245888 |
j-invariant |
L |
9.3531795715641 |
L(r)(E,1)/r! |
Ω |
0.51962109312326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850h1 |
Quadratic twists by: 5 |