Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534d |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2188925859960684544 = 215 · 73 · 417 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 0 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3924329,-2993027579] |
[a1,a2,a3,a4,a6] |
Generators |
[-9273980:6605441:8000] |
Generators of the group modulo torsion |
j |
1407074115849193/460816384 |
j-invariant |
L |
1.7321775407712 |
L(r)(E,1)/r! |
Ω |
0.10726714544395 |
Real period |
R |
8.0741290056812 |
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 |
574f2 |
Quadratic twists by: 41 |