Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800dr |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
133120000 = 214 · 54 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -2 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-163] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
3.7128912054355 |
L(r)(E,1)/r! |
Ω |
1.4826656333628 |
Real period |
R |
2.5041999503384 |
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 |
20800bj1 5200k1 20800da1 |
Quadratic twists by: -4 8 5 |