Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30960by |
Isogeny class |
Conductor |
30960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-5135892480 = -1 · 215 · 36 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2907,60426] |
[a1,a2,a3,a4,a6] |
Generators |
[45:144:1] |
Generators of the group modulo torsion |
j |
-909853209/1720 |
j-invariant |
L |
5.2796962787963 |
L(r)(E,1)/r! |
Ω |
1.3637305208687 |
Real period |
R |
0.48393874357898 |
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 |
3870x1 123840ek1 3440c1 |
Quadratic twists by: -4 8 -3 |