Atkin-Lehner |
2- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904p |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-51212521954607104 = -1 · 219 · 73 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38696,10473456] |
[a1,a2,a3,a4,a6] |
j |
1564410650670503/12503057117824 |
j-invariant |
L |
6.2336747367329 |
L(r)(E,1)/r! |
Ω |
0.2597364456208 |
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 |
10738d1 |
Quadratic twists by: -4 |