Atkin-Lehner |
2+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46784p |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-216329216 = -1 · 210 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 1 1 -4 0 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,1267] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] |
Generators of the group modulo torsion |
j |
-934979584/211259 |
j-invariant |
L |
6.2992244527864 |
L(r)(E,1)/r! |
Ω |
1.6944915970049 |
Real period |
R |
0.61957860634248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46784ba1 5848c1 |
Quadratic twists by: -4 8 |