Atkin-Lehner |
2- 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
43992h |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-964957833216 = -1 · 211 · 33 · 135 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4059,-110186] |
[a1,a2,a3,a4,a6] |
Generators |
[170:2028:1] |
Generators of the group modulo torsion |
j |
-133747954758/17450771 |
j-invariant |
L |
5.0713823950185 |
L(r)(E,1)/r! |
Ω |
0.29690347565235 |
Real period |
R |
1.7080912858548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87984d1 43992b1 |
Quadratic twists by: -4 -3 |