Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39840n |
Isogeny class |
Conductor |
39840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-249000000000000 = -1 · 212 · 3 · 512 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19505,-1301025] |
[a1,a2,a3,a4,a6] |
Generators |
[2415:118500:1] |
Generators of the group modulo torsion |
j |
-200365937932096/60791015625 |
j-invariant |
L |
7.1348757418904 |
L(r)(E,1)/r! |
Ω |
0.19889090538335 |
Real period |
R |
2.9894427668531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39840i2 79680bf1 119520g2 |
Quadratic twists by: -4 8 -3 |