Atkin-Lehner |
2+ 3+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734a |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
38362896 = 24 · 36 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104,240] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] |
Generators of the group modulo torsion |
j |
126279339913/38362896 |
j-invariant |
L |
3.788247700325 |
L(r)(E,1)/r! |
Ω |
1.8996567660497 |
Real period |
R |
1.9941748256989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202bc1 |
Quadratic twists by: -3 |