Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bk |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.4507878326303E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20354976,-30637875456] |
[a1,a2,a3,a4,a6] |
Generators |
[16024246513214526:344722601806876350:11346637993111] |
Generators of the group modulo torsion |
j |
1935473755102091567/1961190701324064 |
j-invariant |
L |
4.0845405264029 |
L(r)(E,1)/r! |
Ω |
0.047946279899683 |
Real period |
R |
21.297484058217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114ba4 10416bo4 |
Quadratic twists by: -4 -7 |