Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912t |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-34037598787584 = -1 · 211 · 3 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2728,-274380] |
[a1,a2,a3,a4,a6] |
Generators |
[60:330:1] |
Generators of the group modulo torsion |
j |
9314926/141267 |
j-invariant |
L |
10.280802871417 |
L(r)(E,1)/r! |
Ω |
0.31993566869367 |
Real period |
R |
4.0167461293975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36456g2 10416c2 |
Quadratic twists by: -4 -7 |