Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19890b |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-61739224326000 = -1 · 24 · 37 · 53 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8415,-235859] |
[a1,a2,a3,a4,a6] |
j |
90391899763439/84690294000 |
j-invariant |
L |
1.3625842361271 |
L(r)(E,1)/r! |
Ω |
0.34064605903177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630r1 99450dm1 |
Quadratic twists by: -3 5 |