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 |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
693530505000000 = 26 · 314 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756666,253589616] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:22444:1] |
Generators of the group modulo torsion |
j |
748612322643635839936/10836414140625 |
j-invariant |
L |
3.2432767225794 |
L(r)(E,1)/r! |
Ω |
0.46504034188634 |
Real period |
R |
6.9741835932422 |
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 |
13920l1 27840cb1 41760m1 69600u1 |
Quadratic twists by: -4 8 -3 5 |