Atkin-Lehner |
3+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109383b |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
471200 |
Modular degree for the optimal curve |
Δ |
-2639908055529999 = -1 · 34 · 199 · 101 |
Discriminant |
Eigenvalues |
1 3+ 2 2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6144,-2481525] |
[a1,a2,a3,a4,a6] |
Generators |
[23132751354334359574751453471790:-555852490702887784851735401223039:40531297690534120269202745875] |
Generators of the group modulo torsion |
j |
-79507/8181 |
j-invariant |
L |
9.9439863382301 |
L(r)(E,1)/r! |
Ω |
0.20165826329048 |
Real period |
R |
49.311077943346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109383k1 |
Quadratic twists by: -19 |