Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13818p |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-39016173168 = -1 · 24 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1324,20285] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:147:1] |
Generators of the group modulo torsion |
j |
-2181825073/331632 |
j-invariant |
L |
5.8430076565316 |
L(r)(E,1)/r! |
Ω |
1.1111490192218 |
Real period |
R |
0.65731593551506 |
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 |
110544eg1 41454bd1 1974k1 |
Quadratic twists by: -4 -3 -7 |