Atkin-Lehner |
3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
9867f |
Isogeny class |
Conductor |
9867 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-23499671481 = -1 · 310 · 113 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 1 -3 11+ 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1670,26588] |
[a1,a2,a3,a4,a6] |
Generators |
[36:103:1] |
Generators of the group modulo torsion |
j |
-515097425213281/23499671481 |
j-invariant |
L |
1.9469080134577 |
L(r)(E,1)/r! |
Ω |
1.1887840216074 |
Real period |
R |
0.81886531870829 |
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 |
29601i1 108537f1 128271l1 |
Quadratic twists by: -3 -11 13 |