Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080eh |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-2.2980671367188E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -5 -2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1027842,-609171482] |
[a1,a2,a3,a4,a6] |
Generators |
[3641:226719:1] |
Generators of the group modulo torsion |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
3.5298156211892 |
L(r)(E,1)/r! |
Ω |
0.092242127377824 |
Real period |
R |
4.7833561814104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080ec1 59040w1 39360de1 |
Quadratic twists by: -4 8 -3 |