Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196i |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9220392 |
Modular degree for the optimal curve |
Δ |
-1.6921346119208E+22 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14142889,-21402364518] |
[a1,a2,a3,a4,a6] |
Generators |
[2789056827378633858201550992676147780223729941079984067802653271400859:505335060774816816522299658112934258389406857747120977518959394974735953:83822515248539894735822139043370487009745995783036491672694076871] |
Generators of the group modulo torsion |
j |
-9699044343808/524596891 |
j-invariant |
L |
12.76735812298 |
L(r)(E,1)/r! |
Ω |
0.038803557387021 |
Real period |
R |
109.67515165032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105196r1 |
Quadratic twists by: 17 |