Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
550d |
Isogeny class |
Conductor |
550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-4159375000 = -1 · 23 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 11+ 5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-576,-6202] |
[a1,a2,a3,a4,a6] |
j |
-53969305/10648 |
j-invariant |
L |
0.48223234604083 |
L(r)(E,1)/r! |
Ω |
0.48223234604083 |
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 |
4400bc2 17600bh2 4950bu2 550h2 |
Quadratic twists by: -4 8 -3 5 |