Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
106470fj |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
20127744 |
Modular degree for the optimal curve |
Δ |
8.1457866385015E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-264083657,-1651688080311] |
[a1,a2,a3,a4,a6] |
Generators |
[18887:303036:1] |
Generators of the group modulo torsion |
j |
263469645912923533/10536960000 |
j-invariant |
L |
11.676155301844 |
L(r)(E,1)/r! |
Ω |
0.037451154969428 |
Real period |
R |
5.5673255841171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490c1 106470bx1 |
Quadratic twists by: -3 13 |