Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050cl |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
39916800 |
Modular degree for the optimal curve |
Δ |
-3.4640820055185E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-162370088,-1198367990208] |
[a1,a2,a3,a4,a6] |
j |
-30298544384700485159470009/22170124835318241331200 |
j-invariant |
L |
4.0572148029717 |
L(r)(E,1)/r! |
Ω |
0.020490983866673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810b1 |
Quadratic twists by: 5 |