Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784m |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-40945967611904 = -1 · 214 · 17 · 435 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 4 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9809,481103] |
[a1,a2,a3,a4,a6] |
j |
-6371214852688/2499143531 |
j-invariant |
L |
1.210577483224 |
L(r)(E,1)/r! |
Ω |
0.60528874167127 |
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 |
46784be1 5848d1 |
Quadratic twists by: -4 8 |