Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920be |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-832149913600 = -1 · 230 · 52 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6785,-221825] |
[a1,a2,a3,a4,a6] |
Generators |
[3793:233576:1] |
Generators of the group modulo torsion |
j |
-131794519969/3174400 |
j-invariant |
L |
3.9712817933417 |
L(r)(E,1)/r! |
Ω |
0.26263856279773 |
Real period |
R |
7.5603554768157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920o1 2480i1 89280ej1 49600bt1 |
Quadratic twists by: -4 8 -3 5 |