Atkin-Lehner |
2+ 3- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062o |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161796096 |
Modular degree for the optimal curve |
Δ |
8.7014126159146E+28 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -6 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13976481681,-635820246944163] |
[a1,a2,a3,a4,a6] |
j |
414180609320646251159036261381137/119360941233396540720021504 |
j-invariant |
L |
1.360766711808 |
L(r)(E,1)/r! |
Ω |
0.013885374598028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354w1 |
Quadratic twists by: -3 |