Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bx |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
120285000000000 = 29 · 37 · 510 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81075,8869750] |
[a1,a2,a3,a4,a6] |
Generators |
[185:450:1] |
Generators of the group modulo torsion |
j |
10105715528/20625 |
j-invariant |
L |
4.470976623129 |
L(r)(E,1)/r! |
Ω |
0.58998635159912 |
Real period |
R |
0.94726272319294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200bd4 26400by4 15840z3 |
Quadratic twists by: -4 -3 5 |