Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205l |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-123847354685626875 = -1 · 36 · 54 · 437 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-133128,-25223596] |
[a1,a2,a3,a4,a6] |
Generators |
[28036:46193:64] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
5.7871715141858 |
L(r)(E,1)/r! |
Ω |
0.12219212083095 |
Real period |
R |
2.9600780889746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9245c1 1935j1 |
Quadratic twists by: -3 -43 |