Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bs |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.6297192740589E+25 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89988712,28135900528] |
[a1,a2,a3,a4,a6] |
j |
167239798814188068697/96074132133998592 |
j-invariant |
L |
1.7433306305668 |
L(r)(E,1)/r! |
Ω |
0.054479081781238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114l2 10416bk2 |
Quadratic twists by: -4 -7 |