Atkin-Lehner |
3- 7+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491f |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-1937834841411 = -1 · 36 · 7 · 235 · 59 |
Discriminant |
Eigenvalues |
2 3- 1 7+ -3 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2847,-88907] |
[a1,a2,a3,a4,a6] |
j |
-3500729749504/2658209659 |
j-invariant |
L |
5.6948267638576 |
L(r)(E,1)/r! |
Ω |
0.31637926862059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9499a1 |
Quadratic twists by: -3 |