Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205c |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
133755143060477025 = 39 · 52 · 437 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127928,769906] |
[a1,a2,a3,a4,a6] |
j |
1860867/1075 |
j-invariant |
L |
1.1154214609067 |
L(r)(E,1)/r! |
Ω |
0.27885537803329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83205g1 1935d1 |
Quadratic twists by: -3 -43 |