Atkin-Lehner |
3- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
31365d |
Isogeny class |
Conductor |
31365 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.05790025995E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 0 4 6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7429806,13567328275] |
[a1,a2,a3,a4,a6] |
Generators |
[186919486:19910207017:17576] |
Generators of the group modulo torsion |
j |
62219794589159765114591/145116633738002721075 |
j-invariant |
L |
8.2534684414215 |
L(r)(E,1)/r! |
Ω |
0.073738198732317 |
Real period |
R |
9.3274455927778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10455a4 |
Quadratic twists by: -3 |