Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490co |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-262713375000 = -1 · 23 · 37 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3947,-97581] |
[a1,a2,a3,a4,a6] |
Generators |
[77:186:1] |
Generators of the group modulo torsion |
j |
-9704452009/375000 |
j-invariant |
L |
11.069090198687 |
L(r)(E,1)/r! |
Ω |
0.30048874774451 |
Real period |
R |
1.0232487237811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830d2 86490cj2 |
Quadratic twists by: -3 -31 |