Atkin-Lehner |
2- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784ba |
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 |
[28:119:1] |
Generators of the group modulo torsion |
j |
-934979584/211259 |
j-invariant |
L |
6.360280191317 |
L(r)(E,1)/r! |
Ω |
0.62310922968599 |
Real period |
R |
1.7012213076791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46784p1 11696g1 |
Quadratic twists by: -4 8 |