Atkin-Lehner |
2- 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932w |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-525118671753984 = -1 · 28 · 313 · 73 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308496,65960372] |
[a1,a2,a3,a4,a6] |
j |
-17398220487589888/2813778891 |
j-invariant |
L |
4.0332911882725 |
L(r)(E,1)/r! |
Ω |
0.5041613971602 |
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 |
28644e1 |
Quadratic twists by: -3 |