Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800cq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6585104824320000000 = -1 · 217 · 3 · 57 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-424033,-163047937] |
[a1,a2,a3,a4,a6] |
Generators |
[589122:-3472525:729] |
Generators of the group modulo torsion |
j |
-4117122162722/3215383215 |
j-invariant |
L |
7.1646433684438 |
L(r)(E,1)/r! |
Ω |
0.090501911329382 |
Real period |
R |
9.895707260672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800dz5 6600a6 10560f6 |
Quadratic twists by: -4 8 5 |