Atkin-Lehner |
2- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
21200u |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
2120000000000 = 212 · 510 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 5 6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,22963] |
[a1,a2,a3,a4,a6] |
Generators |
[94:741:1] |
Generators of the group modulo torsion |
j |
102400/53 |
j-invariant |
L |
3.4456788623897 |
L(r)(E,1)/r! |
Ω |
0.72630045664812 |
Real period |
R |
4.7441507586151 |
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 |
1325d1 84800br1 21200x1 |
Quadratic twists by: -4 8 5 |