Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470be |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.9378999428802E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3042285,-1867786075] |
[a1,a2,a3,a4,a6] |
j |
884984855328729/83492864000 |
j-invariant |
L |
0.92004584708923 |
L(r)(E,1)/r! |
Ω |
0.11500574584575 |
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 |
11830t1 8190bt1 |
Quadratic twists by: -3 13 |