Atkin-Lehner |
3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205s |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-105306328125 = -1 · 36 · 57 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 4 0 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,621,14278] |
[a1,a2,a3,a4,a6] |
j |
19630919/78125 |
j-invariant |
L |
5.2872021138011 |
L(r)(E,1)/r! |
Ω |
0.75531458068608 |
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 |
9245a1 83205k1 |
Quadratic twists by: -3 -43 |