Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ei |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12401049600 = -1 · 216 · 32 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,575,-577] |
[a1,a2,a3,a4,a6] |
Generators |
[17:120:1] |
Generators of the group modulo torsion |
j |
320251964/189225 |
j-invariant |
L |
6.8343692284622 |
L(r)(E,1)/r! |
Ω |
0.74189411533564 |
Real period |
R |
2.3030136939994 |
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 |
27840bb2 6960c2 83520en2 |
Quadratic twists by: -4 8 -3 |