Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190i |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
5.7450549390575E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20766060,36426664656] |
[a1,a2,a3,a4,a6] |
j |
1358496453776544375572161/78807337984327680 |
j-invariant |
L |
0.37510712001452 |
L(r)(E,1)/r! |
Ω |
0.18755356000726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cx1 2730bc1 40950eq1 57330cv1 |
Quadratic twists by: -4 -3 5 -7 |