Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600bq |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1651104000 = 28 · 34 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28068,1819332] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-18:1] |
Generators of the group modulo torsion |
j |
76422916981136/51597 |
j-invariant |
L |
4.0794410839297 |
L(r)(E,1)/r! |
Ω |
1.2395924917536 |
Real period |
R |
0.41136917082137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200cj2 54600bj2 |
Quadratic twists by: -4 5 |