Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
121680fs |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3234816 |
Modular degree for the optimal curve |
Δ |
-1.0686892091328E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,843648,398026096] |
[a1,a2,a3,a4,a6] |
Generators |
[5746:296595:8] |
Generators of the group modulo torsion |
j |
2097152/3375 |
j-invariant |
L |
5.8887914311445 |
L(r)(E,1)/r! |
Ω |
0.12835138964357 |
Real period |
R |
1.9116762816808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000094905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7605u1 40560co1 121680ek1 |
Quadratic twists by: -4 -3 13 |