Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79992k |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
273660459697152 = 210 · 39 · 113 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19251,-650754] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:594:1] |
Generators of the group modulo torsion |
j |
39146446476/13577531 |
j-invariant |
L |
4.2374220077443 |
L(r)(E,1)/r! |
Ω |
0.41680067794404 |
Real period |
R |
1.6944238305685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79992a1 |
Quadratic twists by: -3 |