Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13818k |
Isogeny class |
Conductor |
13818 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
-2079995904 = -1 · 211 · 32 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -1 3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246,2547] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-49:1] |
Generators of the group modulo torsion |
j |
-685878529/866304 |
j-invariant |
L |
5.7575136315698 |
L(r)(E,1)/r! |
Ω |
1.3275868550716 |
Real period |
R |
0.065709489884246 |
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 |
110544cz1 41454c1 13818z1 |
Quadratic twists by: -4 -3 -7 |