Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29200z |
Isogeny class |
Conductor |
29200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
306184192000 = 225 · 53 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- -1 -1 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2928,-55852] |
[a1,a2,a3,a4,a6] |
Generators |
[82:512:1] |
Generators of the group modulo torsion |
j |
5423945093/598016 |
j-invariant |
L |
5.6865555895413 |
L(r)(E,1)/r! |
Ω |
0.65364507348073 |
Real period |
R |
1.0874700621661 |
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 |
3650q1 116800cr1 29200bb1 |
Quadratic twists by: -4 8 5 |