Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9438h |
Isogeny class |
Conductor |
9438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1167359491584 = -1 · 29 · 32 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 11- 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5568,-170496] |
[a1,a2,a3,a4,a6] |
Generators |
[237:3330:1] |
Generators of the group modulo torsion |
j |
-10779215329/658944 |
j-invariant |
L |
2.9638356169683 |
L(r)(E,1)/r! |
Ω |
0.27535942774925 |
Real period |
R |
2.6908790096587 |
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 |
75504cw1 28314cd1 858g1 122694cg1 |
Quadratic twists by: -4 -3 -11 13 |