Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bv |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16515072 |
Modular degree for the optimal curve |
Δ |
4.9265717589657E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34554870,-70504923020] |
[a1,a2,a3,a4,a6] |
Generators |
[6783:81193:1] |
Generators of the group modulo torsion |
j |
1296772724742600169/140009392373760 |
j-invariant |
L |
3.2830529423204 |
L(r)(E,1)/r! |
Ω |
0.062704749146818 |
Real period |
R |
3.2723328292892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490cs1 8190bn1 |
Quadratic twists by: -3 13 |