Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824r |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-38068692544 = -1 · 26 · 296 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,841,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.6885860486535 |
L(r)(E,1)/r! |
Ω |
0.68858604841397 |
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 |
53824r1 26912a2 64a4 |
Quadratic twists by: -4 8 29 |