Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144br |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
122383540224 = 213 · 310 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9472,351284] |
[a1,a2,a3,a4,a6] |
Generators |
[50:72:1] |
Generators of the group modulo torsion |
j |
22947463187713/29878794 |
j-invariant |
L |
3.9372400751143 |
L(r)(E,1)/r! |
Ω |
1.0437534083441 |
Real period |
R |
0.094304843549225 |
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 |
1518l1 48576ch1 36432bn1 |
Quadratic twists by: -4 8 -3 |