Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4557o |
Isogeny class |
Conductor |
4557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
229768497 = 32 · 77 · 31 |
Discriminant |
Eigenvalues |
1 3- -4 7- 2 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-493] |
[a1,a2,a3,a4,a6] |
j |
4826809/1953 |
j-invariant |
L |
1.3645344533033 |
L(r)(E,1)/r! |
Ω |
1.3645344533033 |
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 |
72912bl1 13671r1 113925ba1 651b1 |
Quadratic twists by: -4 -3 5 -7 |