Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488bb |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1499724007682899968 = -1 · 215 · 38 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-518273,155054751] |
[a1,a2,a3,a4,a6] |
j |
-19465109000/1896129 |
j-invariant |
L |
4.1929312628735 |
L(r)(E,1)/r! |
Ω |
0.26205820395059 |
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 |
55488a2 27744o2 3264c2 |
Quadratic twists by: -4 8 17 |