Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228d |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
-22607498022739056 = -1 · 24 · 318 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149662,23479849] |
[a1,a2,a3,a4,a6] |
Generators |
[784:19683:1] |
Generators of the group modulo torsion |
j |
-196948657599232/12010035159 |
j-invariant |
L |
2.9052517537738 |
L(r)(E,1)/r! |
Ω |
0.37528004363569 |
Real period |
R |
1.2902594578118 |
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 |
72912de1 54684n1 372c1 |
Quadratic twists by: -4 -3 -7 |