Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544w |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-58222943856 = -1 · 24 · 39 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11- -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-507,-12413] |
[a1,a2,a3,a4,a6] |
Generators |
[41:189:1] |
Generators of the group modulo torsion |
j |
-1235663104/4991679 |
j-invariant |
L |
4.2757298920847 |
L(r)(E,1)/r! |
Ω |
0.45883502004661 |
Real period |
R |
0.23296662772441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088k1 44352by1 1848g1 38808cj1 |
Quadratic twists by: -4 8 -3 -7 |