Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150t |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-58541547656250000 = -1 · 24 · 313 · 511 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 6 -1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27567,-11766659] |
[a1,a2,a3,a4,a6] |
j |
-203401212841/5139450000 |
j-invariant |
L |
2.4389979606146 |
L(r)(E,1)/r! |
Ω |
0.15243737253841 |
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 |
7050w1 4230bc1 |
Quadratic twists by: -3 5 |