Atkin-Lehner |
2- 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90896k |
Isogeny class |
Conductor |
90896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
38720241664 = 219 · 132 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 0 -3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1680,-25324] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:26:1] |
Generators of the group modulo torsion |
j |
128100283921/9453184 |
j-invariant |
L |
7.6292225342009 |
L(r)(E,1)/r! |
Ω |
0.74915267589211 |
Real period |
R |
1.2729752514177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11362h1 |
Quadratic twists by: -4 |