Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bv |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
476243031527424 = 212 · 35 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20489,-421449] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:588:1] [-77:840:1] |
Generators of the group modulo torsion |
j |
232245467895232/116270271369 |
j-invariant |
L |
13.064884888941 |
L(r)(E,1)/r! |
Ω |
0.42038718290377 |
Real period |
R |
0.77695547233126 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552g1 55776e1 |
Quadratic twists by: -4 8 |