Atkin-Lehner |
2+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150d |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
222312250000 = 24 · 56 · 232 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1642,-11484] |
[a1,a2,a3,a4,a6] |
Generators |
[85:634:1] |
Generators of the group modulo torsion |
j |
31345262577/14227984 |
j-invariant |
L |
4.3842217987932 |
L(r)(E,1)/r! |
Ω |
0.78278048386019 |
Real period |
R |
2.8004158823457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1886e2 |
Quadratic twists by: 5 |