Atkin-Lehner |
3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43245m |
Isogeny class |
Conductor |
43245 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-501417392172975 = -1 · 36 · 52 · 317 |
Discriminant |
Eigenvalues |
1 3- 5- 4 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8829,-1121472] |
[a1,a2,a3,a4,a6] |
j |
-117649/775 |
j-invariant |
L |
3.9460687363741 |
L(r)(E,1)/r! |
Ω |
0.21922604091089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4805c1 1395e1 |
Quadratic twists by: -3 -31 |