Atkin-Lehner |
11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58619b |
Isogeny class |
Conductor |
58619 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-1664676489179 = -1 · 11 · 736 |
Discriminant |
Eigenvalues |
-2 -1 -1 2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1776,69030] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2664:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
1.6056445140931 |
L(r)(E,1)/r! |
Ω |
0.74274856502441 |
Real period |
R |
1.0808802534327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11a3 |
Quadratic twists by: 73 |