Atkin-Lehner |
3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57195s |
Isogeny class |
Conductor |
57195 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
431298737015625 = 36 · 56 · 314 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117234,-15388385] |
[a1,a2,a3,a4,a6] |
Generators |
[486:6257:1] |
Generators of the group modulo torsion |
j |
244432538142313249/591630640625 |
j-invariant |
L |
6.3678406672549 |
L(r)(E,1)/r! |
Ω |
0.25804720099836 |
Real period |
R |
4.1128397198123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355a1 |
Quadratic twists by: -3 |