Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13920t |
Isogeny class |
Conductor |
13920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5747709375000000000 = 29 · 37 · 514 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-778536,238175640] |
[a1,a2,a3,a4,a6] |
Generators |
[-13750081:-665462428:29791] |
Generators of the group modulo torsion |
j |
101927273506578172232/11225994873046875 |
j-invariant |
L |
3.2432767225794 |
L(r)(E,1)/r! |
Ω |
0.23252017094317 |
Real period |
R |
13.948367186484 |
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 |
13920l2 27840cb2 41760m2 69600u2 |
Quadratic twists by: -4 8 -3 5 |