Atkin-Lehner |
2- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872z |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20183032805605376 = -1 · 214 · 712 · 89 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12817,6853711] |
[a1,a2,a3,a4,a6] |
Generators |
[28857:941192:27] |
Generators of the group modulo torsion |
j |
-14213361750352/1231874560889 |
j-invariant |
L |
5.19382680031 |
L(r)(E,1)/r! |
Ω |
0.31645964830128 |
Real period |
R |
2.0515359652443 |
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 |
39872u2 9968h2 |
Quadratic twists by: -4 8 |