Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20800o |
Isogeny class |
Conductor |
20800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
266240000000 = 218 · 57 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,4863] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:175:1] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
3.9788394110621 |
L(r)(E,1)/r! |
Ω |
0.85110386389745 |
Real period |
R |
2.3374581997794 |
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 |
20800cn1 325c1 4160g1 |
Quadratic twists by: -4 8 5 |