Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bl |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-1.5872124023437E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5206028,-4956262513] |
[a1,a2,a3,a4,a6] |
Generators |
[2160117:53607077:729] |
Generators of the group modulo torsion |
j |
-21405018343206000779641/2177246093750000000 |
j-invariant |
L |
6.3311179802557 |
L(r)(E,1)/r! |
Ω |
0.049687628279901 |
Real period |
R |
3.0337713734825 |
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 |
65520ct1 910e1 40950u1 57330ey1 |
Quadratic twists by: -4 -3 5 -7 |