Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104n |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-3.7006522389897E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 5 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,421341,-919538467] |
[a1,a2,a3,a4,a6] |
j |
1192310528/53338743 |
j-invariant |
L |
2.6032583173738 |
L(r)(E,1)/r! |
Ω |
0.08135184537876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552s1 40368d1 4176f1 |
Quadratic twists by: -4 -3 29 |