Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8200h |
Isogeny class |
Conductor |
8200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
2101250000 = 24 · 57 · 412 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-383,1738] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:31:1] [-2:50:1] |
Generators of the group modulo torsion |
j |
24918016/8405 |
j-invariant |
L |
4.0419170830942 |
L(r)(E,1)/r! |
Ω |
1.351338819503 |
Real period |
R |
0.74776159479039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16400c1 65600g1 73800w1 1640b1 |
Quadratic twists by: -4 8 -3 5 |