Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912cj |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4501404050749820928 = 212 · 316 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1014512,379493652] |
[a1,a2,a3,a4,a6] |
j |
239633492476897/9341138457 |
j-invariant |
L |
3.8869860812707 |
L(r)(E,1)/r! |
Ω |
0.24293663086132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4557e3 10416u3 |
Quadratic twists by: -4 -7 |