Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466i |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
660840998755392 = 26 · 39 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27204,-1198576] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:475:1] |
Generators of the group modulo torsion |
j |
2803221/832 |
j-invariant |
L |
2.5318980498236 |
L(r)(E,1)/r! |
Ω |
0.38024185087291 |
Real period |
R |
3.3293258540732 |
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 |
91728dd1 11466bq1 11466f1 |
Quadratic twists by: -4 -3 -7 |