Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660d |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
86184 |
Modular degree for the optimal curve |
Δ |
-101901378246000 = -1 · 24 · 3 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -2 6 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2286,-486735] |
[a1,a2,a3,a4,a6] |
j |
-4864/375 |
j-invariant |
L |
2.3717623932594 |
L(r)(E,1)/r! |
Ω |
0.2635291548066 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640de1 64980be1 108300bu1 21660y1 |
Quadratic twists by: -4 -3 5 -19 |