Atkin-Lehner |
2+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77326c |
Isogeny class |
Conductor |
77326 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
421990444576968704 = 212 · 232 · 417 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-826247,287312970] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:19384:1] |
Generators of the group modulo torsion |
j |
13132563308857/88838144 |
j-invariant |
L |
0.71165773105302 |
L(r)(E,1)/r! |
Ω |
0.29999919187932 |
Real period |
R |
0.59304970806884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999774237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886a1 |
Quadratic twists by: 41 |