Atkin-Lehner |
2- 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
77900b |
Isogeny class |
Conductor |
77900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
474094531250000 = 24 · 511 · 192 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32533,-2011812] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:451:1] |
Generators of the group modulo torsion |
j |
15232437059584/1896378125 |
j-invariant |
L |
5.4925242165734 |
L(r)(E,1)/r! |
Ω |
0.35838718483422 |
Real period |
R |
2.5542785608278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15580a1 |
Quadratic twists by: 5 |