Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
4824a |
Isogeny class |
Conductor |
4824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1350411264 = -1 · 210 · 39 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,189,-1458] |
[a1,a2,a3,a4,a6] |
j |
37044/67 |
j-invariant |
L |
3.1924761412741 |
L(r)(E,1)/r! |
Ω |
0.79811903531852 |
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 |
9648a1 38592f1 4824b1 120600bi1 |
Quadratic twists by: -4 8 -3 5 |