Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cd |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-595360000000000 = -1 · 214 · 510 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -6 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50300,4498000] |
[a1,a2,a3,a4,a6] |
Generators |
[45:1525:1] |
Generators of the group modulo torsion |
j |
-54977843664/2325625 |
j-invariant |
L |
6.3660714562504 |
L(r)(E,1)/r! |
Ω |
0.51125007774039 |
Real period |
R |
1.5564964522342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600m2 24400o2 19520x2 |
Quadratic twists by: -4 8 5 |