Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550o |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1063756800000000 = -1 · 216 · 37 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -1 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8883,1533541] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1163:1] |
Generators of the group modulo torsion |
j |
272199695/3735552 |
j-invariant |
L |
3.0713410522002 |
L(r)(E,1)/r! |
Ω |
0.36393784876557 |
Real period |
R |
1.054898886794 |
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 |
68400gd1 2850t1 8550v1 |
Quadratic twists by: -4 -3 5 |