Atkin-Lehner |
2- 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bp |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-70470972000000 = -1 · 28 · 36 · 56 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8987,239531] |
[a1,a2,a3,a4,a6] |
j |
5137417856375/4510142208 |
j-invariant |
L |
3.20706526335 |
L(r)(E,1)/r! |
Ω |
0.40088315791875 |
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 |
64350bn1 858b1 |
Quadratic twists by: -3 5 |