Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881l |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
135360 |
Modular degree for the optimal curve |
Δ |
-17358427976423769 = -1 · 36 · 478 |
Discriminant |
Eigenvalues |
1 3- 3 -2 6 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19467,-6256958] |
[a1,a2,a3,a4,a6] |
Generators |
[1411030:149217106:125] |
Generators of the group modulo torsion |
j |
47 |
j-invariant |
L |
7.1763430440617 |
L(r)(E,1)/r! |
Ω |
0.18901263822082 |
Real period |
R |
6.3279216949129 |
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 |
2209b1 19881m1 |
Quadratic twists by: -3 -47 |