Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818d |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-39016173168 = -1 · 24 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 2 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,9493] |
[a1,a2,a3,a4,a6] |
Generators |
[6:95:1] |
Generators of the group modulo torsion |
j |
-15625/331632 |
j-invariant |
L |
3.2715127093042 |
L(r)(E,1)/r! |
Ω |
0.91932761489126 |
Real period |
R |
0.88964822124135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544di1 41454bo1 1974b1 |
Quadratic twists by: -4 -3 -7 |