Atkin-Lehner |
2- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
4234a |
Isogeny class |
Conductor |
4234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
464 |
Modular degree for the optimal curve |
Δ |
-33872 = -1 · 24 · 29 · 73 |
Discriminant |
Eigenvalues |
2- -1 2 0 0 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-107,-471] |
[a1,a2,a3,a4,a6] |
j |
-135559106353/33872 |
j-invariant |
L |
2.9686292228722 |
L(r)(E,1)/r! |
Ω |
0.74215730571804 |
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 |
33872d1 38106f1 105850b1 122786b1 |
Quadratic twists by: -4 -3 5 29 |