Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400d |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
471968000000 = 211 · 56 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15732275,-24017920750] |
[a1,a2,a3,a4,a6] |
j |
13457002144177215234/14749 |
j-invariant |
L |
0.60644580625216 |
L(r)(E,1)/r! |
Ω |
0.075805666823281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60200c4 4816b3 |
Quadratic twists by: -4 5 |