Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864k |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-50304089601703872 = -1 · 26 · 324 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11+ -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25653,-10906220] |
[a1,a2,a3,a4,a6] |
Generators |
[22080422350:-454696845219:42875000] |
Generators of the group modulo torsion |
j |
-40015725321664/1078191220887 |
j-invariant |
L |
7.5309490078932 |
L(r)(E,1)/r! |
Ω |
0.15456668683985 |
Real period |
R |
12.180744053852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72864bf1 24288p1 |
Quadratic twists by: -4 -3 |