Atkin-Lehner |
2- 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40194bb |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-27015445949184 = -1 · 28 · 39 · 75 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3859,-233387] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2552:1] |
Generators of the group modulo torsion |
j |
322970055381/1372526848 |
j-invariant |
L |
11.17982438275 |
L(r)(E,1)/r! |
Ω |
0.33750271326626 |
Real period |
R |
0.41406424094163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40194h1 |
Quadratic twists by: -3 |