Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21200b |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-21200000000 = -1 · 210 · 58 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 -1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,14512] |
[a1,a2,a3,a4,a6] |
Generators |
[22:50:1] |
Generators of the group modulo torsion |
j |
-7086244/1325 |
j-invariant |
L |
4.5656317342643 |
L(r)(E,1)/r! |
Ω |
1.162602318006 |
Real period |
R |
0.98176987598282 |
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 |
10600c1 84800bw1 4240a1 |
Quadratic twists by: -4 8 5 |