Atkin-Lehner |
2- 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85904z |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-2287108096 = -1 · 215 · 7 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 2 1 7- -4 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-2832] |
[a1,a2,a3,a4,a6] |
j |
-594823321/558376 |
j-invariant |
L |
4.4938555350821 |
L(r)(E,1)/r! |
Ω |
0.56173193237641 |
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 |
10738c1 |
Quadratic twists by: -4 |