Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150r |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-289094062500000 = -1 · 25 · 39 · 510 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -5 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11367,944541] |
[a1,a2,a3,a4,a6] |
j |
-22816825/40608 |
j-invariant |
L |
0.97884694175193 |
L(r)(E,1)/r! |
Ω |
0.48942347087596 |
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 |
7050be1 21150cp1 |
Quadratic twists by: -3 5 |