Atkin-Lehner |
2+ 3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74448b |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.2617897881332E+22 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31947843,-68453422990] |
[a1,a2,a3,a4,a6] |
j |
4830819956736129020164/83882429217747963 |
j-invariant |
L |
6.3569192456226 |
L(r)(E,1)/r! |
Ω |
0.063569192111603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37224k2 24816d2 |
Quadratic twists by: -4 -3 |