Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10406i |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-1585398283876 = -1 · 22 · 118 · 432 |
Discriminant |
Eigenvalues |
2- -2 1 0 11- -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-305,60589] |
[a1,a2,a3,a4,a6] |
Generators |
[10:237:1] |
Generators of the group modulo torsion |
j |
-14641/7396 |
j-invariant |
L |
4.8629891508445 |
L(r)(E,1)/r! |
Ω |
0.68482528074415 |
Real period |
R |
0.59175545544019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248bo1 93654l1 10406e1 |
Quadratic twists by: -4 -3 -11 |