Atkin-Lehner |
2+ 3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440t |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
163598797440000 = 210 · 312 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16336,511460] |
[a1,a2,a3,a4,a6] |
Generators |
[-136:486:1] [-118:900:1] |
Generators of the group modulo torsion |
j |
470855355630916/159764450625 |
j-invariant |
L |
13.277226533892 |
L(r)(E,1)/r! |
Ω |
0.52841318194757 |
Real period |
R |
1.0469416568997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720b3 |
Quadratic twists by: -4 |