Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38686k |
Isogeny class |
Conductor |
38686 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.2875305691618E+23 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 3 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40321342,-100066145925] |
[a1,a2,a3,a4,a6] |
Generators |
[29553:4937031:1] |
Generators of the group modulo torsion |
j |
-12188230526616079753/216455966621696 |
j-invariant |
L |
4.5309400792667 |
L(r)(E,1)/r! |
Ω |
0.029924586729379 |
Real period |
R |
1.5772078297749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1334c2 |
Quadratic twists by: 29 |