Atkin-Lehner |
2+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7544a |
Isogeny class |
Conductor |
7544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20352 |
Modular degree for the optimal curve |
Δ |
19749807678464 = 210 · 234 · 413 |
Discriminant |
Eigenvalues |
2+ 2 -2 -4 -2 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24384,1458044] |
[a1,a2,a3,a4,a6] |
Generators |
[-4290:30736:27] |
Generators of the group modulo torsion |
j |
1565872564610308/19286921561 |
j-invariant |
L |
4.6081602391261 |
L(r)(E,1)/r! |
Ω |
0.68732609744986 |
Real period |
R |
6.7044744208367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15088a1 60352b1 67896h1 |
Quadratic twists by: -4 8 -3 |