Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200ea |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.8593344E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-326670700,2272454994000] |
[a1,a2,a3,a4,a6] |
j |
941226862950447171561/45393906250000 |
j-invariant |
L |
0.38087669257537 |
L(r)(E,1)/r! |
Ω |
0.09521891246842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123200cd2 30800bk2 24640bk2 |
Quadratic twists by: -4 8 5 |