Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840v |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7698240000 = 29 · 37 · 54 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,-70958] |
[a1,a2,a3,a4,a6] |
Generators |
[66:50:1] |
Generators of the group modulo torsion |
j |
10105715528/20625 |
j-invariant |
L |
3.7765223729032 |
L(r)(E,1)/r! |
Ω |
0.63272656412499 |
Real period |
R |
2.9843241828529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15840z3 31680ef4 5280i3 79200bd4 |
Quadratic twists by: -4 8 -3 5 |