Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41552b |
Isogeny class |
Conductor |
41552 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 5 -1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1143,-14876] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:147:8] |
Generators of the group modulo torsion |
j |
1792000/53 |
j-invariant |
L |
4.075007525363 |
L(r)(E,1)/r! |
Ω |
0.82251128561801 |
Real period |
R |
1.6514494883406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20776a1 41552h1 |
Quadratic twists by: -4 -7 |