Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824i |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2804585472 = 210 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2547,49410] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-36:1] [-45:270:1] |
Generators of the group modulo torsion |
j |
2447840196/3757 |
j-invariant |
L |
6.3511688391341 |
L(r)(E,1)/r! |
Ω |
1.4318640119513 |
Real period |
R |
0.55444937386897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15912o2 127296dg2 3536c2 |
Quadratic twists by: -4 8 -3 |