Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880bp |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-57259547688960 = -1 · 224 · 35 · 5 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7425,-442017] |
[a1,a2,a3,a4,a6] |
j |
-172715635009/218427840 |
j-invariant |
L |
2.4547021088466 |
L(r)(E,1)/r! |
Ω |
0.24547021091549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880cu1 1590j1 |
Quadratic twists by: -4 8 |