Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1872b |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-89856 = -1 · 28 · 33 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 4 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,-10] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
11664/13 |
j-invariant |
L |
2.6380281509813 |
L(r)(E,1)/r! |
Ω |
1.8314537416018 |
Real period |
R |
1.4404011911729 |
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 |
936a1 7488bh1 1872a1 46800e1 |
Quadratic twists by: -4 8 -3 5 |