Atkin-Lehner |
2+ 3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
41976f |
Isogeny class |
Conductor |
41976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
96942396672 = 28 · 310 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206031,35995394] |
[a1,a2,a3,a4,a6] |
Generators |
[251:308:1] |
Generators of the group modulo torsion |
j |
5182674454475728/519453 |
j-invariant |
L |
3.111232102633 |
L(r)(E,1)/r! |
Ω |
0.82112473586706 |
Real period |
R |
1.8944942021193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83952a2 13992a2 |
Quadratic twists by: -4 -3 |