Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bn |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-79980468750000 = -1 · 24 · 32 · 514 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1617,-429012] |
[a1,a2,a3,a4,a6] |
j |
1869154304/319921875 |
j-invariant |
L |
2.3012516548673 |
L(r)(E,1)/r! |
Ω |
0.28765648202315 |
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 |
54600g1 21840j1 |
Quadratic twists by: -4 5 |