Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900v |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-14407956000000 = -1 · 28 · 310 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -5 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22575,-1318250] |
[a1,a2,a3,a4,a6] |
j |
-436334416/4941 |
j-invariant |
L |
1.1676720561832 |
L(r)(E,1)/r! |
Ω |
0.19461200985996 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300l1 2196e1 |
Quadratic twists by: -3 5 |