Atkin-Lehner |
2- 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584z |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1202354045128470528 = 212 · 318 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1235297,525400047] |
[a1,a2,a3,a4,a6] |
j |
50895369988415092288/293543468048943 |
j-invariant |
L |
4.9489110303321 |
L(r)(E,1)/r! |
Ω |
0.27493950168525 |
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 |
31584e2 63168k1 94752d2 |
Quadratic twists by: -4 8 -3 |