Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490m |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384000 |
Modular degree for the optimal curve |
Δ |
-7.6897690203618E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 1 4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165089409,-918972519715] |
[a1,a2,a3,a4,a6] |
Generators |
[732489130142977440390940202107869562277:163851707897077290856553457468618195888287:13650945399755932758165560353845293] |
Generators of the group modulo torsion |
j |
-28485240894685827/4402018257760 |
j-invariant |
L |
4.8728731936372 |
L(r)(E,1)/r! |
Ω |
0.020881292201924 |
Real period |
R |
58.340177735602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490ca1 2790e1 |
Quadratic twists by: -3 -31 |