Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470ck |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-162994923000 = -1 · 23 · 39 · 53 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,846,-17172] |
[a1,a2,a3,a4,a6] |
Generators |
[27:144:1] |
Generators of the group modulo torsion |
j |
543164999/1323000 |
j-invariant |
L |
4.724657441353 |
L(r)(E,1)/r! |
Ω |
0.52784530133127 |
Real period |
R |
0.7459031115927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35490cz1 106470eu1 |
Quadratic twists by: -3 13 |