Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450bz |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-173467008000 = -1 · 210 · 36 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,142,-19969] |
[a1,a2,a3,a4,a6] |
Generators |
[51:325:1] |
Generators of the group modulo torsion |
j |
2532139147/1387736064 |
j-invariant |
L |
6.626418456415 |
L(r)(E,1)/r! |
Ω |
0.47520046965259 |
Real period |
R |
0.69722347510089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350ck1 21450bh1 |
Quadratic twists by: -3 5 |