Atkin-Lehner |
3- 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045bi |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-5.0563729316393E+21 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11993862,-16349676935] |
[a1,a2,a3,a4,a6] |
j |
-261741945752892238495744/6936039686748046875 |
j-invariant |
L |
2.4299751404636 |
L(r)(E,1)/r! |
Ω |
0.040499585677396 |
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 |
15015d1 |
Quadratic twists by: -3 |