Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21450bm |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
-1858121332031250 = -1 · 2 · 39 · 59 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11- 13- -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-123201,16762798] |
[a1,a2,a3,a4,a6] |
Generators |
[452:7086:1] |
Generators of the group modulo torsion |
j |
-105884235324629/951358122 |
j-invariant |
L |
5.2251213126492 |
L(r)(E,1)/r! |
Ω |
0.47128863862317 |
Real period |
R |
0.20531262131097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64350fc1 21450cb1 |
Quadratic twists by: -3 5 |