Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20292d |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
6574608 = 24 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 3 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:35:8] |
Generators of the group modulo torsion |
j |
1674035968/410913 |
j-invariant |
L |
5.6726557547891 |
L(r)(E,1)/r! |
Ω |
1.7295579584305 |
Real period |
R |
3.2798298126631 |
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 |
81168cf1 60876t1 |
Quadratic twists by: -4 -3 |