Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490ca |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-1.0548380000496E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18343268,34042133671] |
[a1,a2,a3,a4,a6] |
Generators |
[2953:73481:1] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
6.8290117182574 |
L(r)(E,1)/r! |
Ω |
0.10223253661497 |
Real period |
R |
3.3399404653362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490m1 2790p1 |
Quadratic twists by: -3 -31 |