Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19881h |
Isogeny class |
Conductor |
19881 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451200 |
Modular degree for the optimal curve |
Δ |
-4218097998270975867 = -1 · 311 · 478 |
Discriminant |
Eigenvalues |
0 3- 4 0 -6 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-622938,-213486044] |
[a1,a2,a3,a4,a6] |
Generators |
[20283121660:665614573321:12977875] |
Generators of the group modulo torsion |
j |
-1540096/243 |
j-invariant |
L |
5.4124957809589 |
L(r)(E,1)/r! |
Ω |
0.084237427355724 |
Real period |
R |
16.063215457966 |
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 |
6627c1 19881i1 |
Quadratic twists by: -3 -47 |