Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bd |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2568317928017187500 = 22 · 58 · 710 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6114058,5819937981] |
[a1,a2,a3,a4,a6] |
Generators |
[345:61077:1] [11286:1213:8] |
Generators of the group modulo torsion |
j |
214844414913717475041/21830342187500 |
j-invariant |
L |
16.216398458733 |
L(r)(E,1)/r! |
Ω |
0.2460486996585 |
Real period |
R |
8.2384089423348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710i3 |
Quadratic twists by: -7 |