Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83205j |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10402560 |
Modular degree for the optimal curve |
Δ |
6.1131351605555E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 5 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34630268,68838843912] |
[a1,a2,a3,a4,a6] |
j |
539033907481/71744535 |
j-invariant |
L |
1.4094154197154 |
L(r)(E,1)/r! |
Ω |
0.088088463800575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27735d1 83205r1 |
Quadratic twists by: -3 -43 |