Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20800da |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
2080000000000 = 214 · 510 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,-27037] |
[a1,a2,a3,a4,a6] |
Generators |
[-61798:229687:1331] |
Generators of the group modulo torsion |
j |
25600/13 |
j-invariant |
L |
5.9943674832095 |
L(r)(E,1)/r! |
Ω |
0.66306822882038 |
Real period |
R |
9.0403479199625 |
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 |
20800y1 5200a1 20800dr1 |
Quadratic twists by: -4 8 5 |