Atkin-Lehner |
3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54873n |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41984 |
Modular degree for the optimal curve |
Δ |
-29295103383 = -1 · 37 · 7 · 134 · 67 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243,8424] |
[a1,a2,a3,a4,a6] |
Generators |
[40:228:1] |
Generators of the group modulo torsion |
j |
-2181825073/40185327 |
j-invariant |
L |
3.9391454669539 |
L(r)(E,1)/r! |
Ω |
0.99277476047565 |
Real period |
R |
3.967813872513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18291e1 |
Quadratic twists by: -3 |