Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760z |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-5.2246993476015E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3682988,-2742636848] |
[a1,a2,a3,a4,a6] |
j |
-21075830718885163521/199306463150080 |
j-invariant |
L |
0.10891922013792 |
L(r)(E,1)/r! |
Ω |
0.054459610023171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760e1 11440s1 |
Quadratic twists by: -4 8 |