Atkin-Lehner |
2+ 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990h |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
-53214720000000 = -1 · 215 · 3 · 57 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 6 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44104,-3585898] |
[a1,a2,a3,a4,a6] |
Generators |
[15057636:250447658:35937] |
Generators of the group modulo torsion |
j |
-9487318822026281209/53214720000000 |
j-invariant |
L |
3.9529695662235 |
L(r)(E,1)/r! |
Ω |
0.16466663152141 |
Real period |
R |
12.002946588816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127920bb1 47970bj1 79950bn1 |
Quadratic twists by: -4 -3 5 |