Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050h |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2255628515625000000 = -1 · 26 · 36 · 514 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183942,78425716] |
[a1,a2,a3,a4,a6] |
j |
-60425492474521/198025000000 |
j-invariant |
L |
1.8214340278291 |
L(r)(E,1)/r! |
Ω |
0.22767925347587 |
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 |
4450m2 8010h2 |
Quadratic twists by: -3 5 |