Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490w |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
188876800 |
Modular degree for the optimal curve |
Δ |
-2.4891100771904E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 2 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1476168255,-32445397598675] |
[a1,a2,a3,a4,a6] |
Generators |
[146323752727965004747182333508:49259287346128536387563761897315:1149712110072358609848128] |
Generators of the group modulo torsion |
j |
-18456465033174511/12914016300000 |
j-invariant |
L |
3.585772229246 |
L(r)(E,1)/r! |
Ω |
0.011812973772609 |
Real period |
R |
37.943157860474 |
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 |
28830bh1 86490x1 |
Quadratic twists by: -3 -31 |