Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5520r |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
361758720 = 220 · 3 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
217081801/88320 |
j-invariant |
L |
3.3879775944582 |
L(r)(E,1)/r! |
Ω |
1.3148974945664 |
Real period |
R |
2.576609666121 |
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 |
690f1 22080cm1 16560bp1 27600cw1 |
Quadratic twists by: -4 8 -3 5 |